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3+1 formalism in general relativity : bases of numerical relativity / / Eric Gourgoulhon
| 3+1 formalism in general relativity : bases of numerical relativity / / Eric Gourgoulhon |
| Autore | Gourgoulhon Eric |
| Edizione | [1st ed. 2012.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg, : Springer, c2012 |
| Descrizione fisica | 1 online resource (XVII, 294 p. 29 illus.) |
| Disciplina | 530.11 |
| Collana | Lecture notes in physics |
| Soggetto topico |
General relativity (Physics) - Mathematics
Physics |
| ISBN |
9783642245251
3642245250 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Basic Differential Geometry -- Geometry of Hypersurfaces -- Geometry of Foliations -- 3+1 decomposition of Einstein Equation -- 3+1 Equations for Matter and Electromagnetic Field -- Conformal Decompositon -- Asymptotic Flatness and Global Quantities -- The Initial Data Problem -- Choice of Foliation and Spatial Coordiinates -- Evolution Schemes -- Conformal Killing Operator and Conformal Vector Laplacian -- Sage Codes. |
| Altri titoli varianti |
3 + 1 formalism in general relativity
3 plus 1 formalism in general relativity |
| Record Nr. | UNINA-9910133753003321 |
Gourgoulhon Eric
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| Berlin ; ; Heidelberg, : Springer, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat
| General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat |
| Autore | Choquet-Bruhat Yvonne |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2009 |
| Descrizione fisica | 1 online resource (812 p.) |
| Disciplina | 530.11 |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
General relativity (Physics) - Mathematics
Einstein field equations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-99870-2
9786611998707 0-19-155226-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; I: Lorentz geometry; 1 Introduction; 2 Manifolds; 3 Differentiable mappings; 4 Vectors and tensors; 4.1 Tangent and cotangent space; 4.2 Vector fields; 4.3 Tensors and tensor fields; 5 Pseudo-Riemannian metrics; 5.1 General properties; 5.2 Riemannian and Lorentzian metrics; 6 Riemannian connection; 7 Geodesics; 8 Curvature; 9 Geodesic deviation; 10 Maximum of length and conjugate points; 11 Linearized Ricci and Einstein tensors; 12 Second derivative of the Ricci tensor; II: Special Relativity; 1 Newton's mechanics; 1.1 The Galileo-Newton spacetime
1.2 Newton's dynamics - the Galileo group2 Maxwell's equations; 3 Minkowski spacetime; 3.1 Definition; 3.2 Maxwell's equations on M[sub(4)]; 4 Poincaré group; 5 Lorentz group; 5.1 General formulae; 5.2 Transformation of electric and magnetic vector fields (case n = 3); 5.3 Lorentz contraction and dilatation; 6 Special Relativity; 6.1 Proper time; 6.2 Proper frame and relative velocities; 7 Dynamics of a pointlike mass; 7.1 Newtonian law; 7.2 Relativistic law; 7.3 Equivalence of mass and energy; 8 Continuous matter; 8.1 Case of dust (incoherent matter); 8.2 Perfect fluids III: General relativity and Einstein's equations1 Introduction; 2 Newton's gravity law; 3 General relativity; 3.1 Physical motivations; 4 Observations and experiments; 4.1 Deviation of light rays; 4.2 Proper time, gravitational time delay; 5 Einstein's equations; 5.1 Vacuum case; 5.2 Equations with sources; 6 Field sources; 6.1 Electromagnetic sources; 6.2 Electromagnetic potential; 6.3 Yang-Mills fields; 6.4 Scalar fields; 6.5 Wave maps; 6.6 Energy conditions; 7 Lagrangians; 7.1 Einstein-Hilbert Lagrangian; 7.2 Lagrangians and stress energy tensors of sources; 7.3 Coupled Lagrangian 8 Fluid sources9 Einsteinian spacetimes; 9.1 Definition; 9.2 Regularity hypotheses; 10 Newtonian approximation; 10.1 Equations for potentials; 10.2 Equations of motion; 11 Gravitational waves; 11.1 Minkowskian approximation; 11.2 General linear waves; 12 High-frequency gravitational waves; 12.1 Phase and polarizations; 12.2 Radiative coordinates; 12.3 Energy conservation; 13 Coupled electromagnetic and gravitational waves; 13.1 Phase and polarizations; 13.2 Propagation equations; IV: Schwarzschild spacetime and black holes; 1 Introduction; 2 Spherically symmetric spacetimes 3 Schwarzschild metric4 Other coordinates; 4.1 Isotropic coordinates; 4.2 Wave coordinates; 4.3 Painlevé-Gullstrand-like coordinates; 4.4 Regge-Wheeler coordinates; 5 Schwarzschild spacetime; 6 The motion of the planets and perihelion precession; 6.1 Equations; 6.2 Results of observations; 6.3 Escape velocity; 7 Stability of circular orbits; 8 Deflection of light rays; 8.1 Theoretical prediction; 8.2 Results of observation; 8.3 Fermat's principle and light travel parameter time; 9 Red shift and time delay; 10 Spherically symmetric interior solutions; 10.1 Static solutions. Upper limit on mass 10.2 Matching with an exterior solution |
| Record Nr. | UNINA-9910465797503321 |
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Choquet-Bruhat Yvonne
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| Oxford ; ; New York, : Oxford University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat
| General relativity and the Einstein equations [[electronic resource] /] / Yvonne Choquet-Bruhat |
| Autore | Choquet-Bruhat Yvonne |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2009 |
| Descrizione fisica | xxiv, 785 p. : ill |
| Collana | Oxford mathematical monographs |
| Soggetto topico |
General relativity (Physics) - Mathematics
Einstein field equations |
| ISBN |
9780191552267
0191552267 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795716303321 |
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Choquet-Bruhat Yvonne
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| Oxford ; ; New York, : Oxford University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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General relativity and the Einstein equations / Yvonne Choquet-Bruhat
| General relativity and the Einstein equations / Yvonne Choquet-Bruhat |
| Autore | Choquet-Bruhat, Yvonne |
| Pubbl/distr/stampa | Oxford ; New York : Oxford University Press, 2009 |
| Descrizione fisica | xxiv, 785 p. : ill. ; 25 cm |
| Disciplina | 530.11 |
| Collana | Oxford mathematical monographs |
| Soggetto topico | General relativity (Physics) - Mathematics |
| ISBN | 9780199230723 |
| Classificazione |
AMS 83C05
AMS 83C10 LC QC173.6.C474 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000112209707536 |
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Choquet-Bruhat, Yvonne
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| Oxford ; New York : Oxford University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity / Gregory L. Naber
| The geometry of Minkowski spacetime : an introduction to the mathematics of the special theory of relativity / Gregory L. Naber |
| Autore | Naber, Gregory L. |
| Pubbl/distr/stampa | New York : Springer, [2012] |
| Descrizione fisica | xvi, 324 p. : ill. ; 24 cm |
| Disciplina | 530.11 |
| Collana | Applied mathematical sciences ; 92 |
| Soggetto topico |
General relativity (Physics) - Mathematics
Generalized spaces |
| ISBN |
9781441978370 (acid-free paper)
9781441978387 (ebk.) |
| Classificazione |
AMS 83A05
AMS 83-01 LC QC173.6.N33 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003275539707536 |
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Naber, Gregory L.
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| New York : Springer, [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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An Introduction to mathematical relativity / José Natário
| An Introduction to mathematical relativity / José Natário |
| Autore | Natário, José |
| Pubbl/distr/stampa | Cham, Switzerland : Springer, c2021 |
| Descrizione fisica | viii, 186 p. : ill. ; 24 cm |
| Disciplina | 530.11 |
| Collana | Latin American mathematics series. UFSCar subseries, 2524-6755 |
| Soggetto topico | General relativity (Physics) - Mathematics |
| ISBN | 9783030656850 |
| Classificazione |
LC QC173.6
53.1.52 AMS 53-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- Exact Solutions -- Causality -- Singularity Theorems -- Cauchy Problems -- Mass in general relativity -- Black Holes -- Appendix: Mathematical Concepts for Physicists |
| Record Nr. | UNISALENTO-991004265227607536 |
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Natário, José
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| Cham, Switzerland : Springer, c2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Mathematics and general relativity : proceedings of the AMS-IMS-SIAM joint summer research conference held June 22-28, 1986 with support from the National Science Foundation / / James A. Isenberg, editor
| Mathematics and general relativity : proceedings of the AMS-IMS-SIAM joint summer research conference held June 22-28, 1986 with support from the National Science Foundation / / James A. Isenberg, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (386 p.) |
| Disciplina | 530.1/1 |
| Collana | Contemporary mathematics |
| Soggetto topico |
General relativity (Physics) - Mathematics
Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7660-0
0-8218-5079-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Aspects of Quasi-Local Angular Momentum""; ""Some Remarks on the Quasi-Local Mass""; ""Quasi-Local Mass for ""Large"" Spheres""; ""Conserved Quantities as Action Variations""; ""A 3+1 Formulation of Einstein Self-Duality""; ""Quantum Gravity in the Self-Dual Representation""; ""Superspace in the Self-Dual Representation of Quantum Gravity""; ""Self-Dual and Anti-Self-Dual Hermitian Metrics on Compact Complex Surfaces""; ""Instantons on the Quaternionic Siegel Space""; ""Gauge Theories for Fields of Spin-One and Spin-Two""
""Einstein Geometry and Hyperbolic Equations""""The Well-Posedness of Rosen's Field Equations""; ""Dynamics of Quadratic Lagrangians in Gravity: Fairchild's Theory""; ""Stability in Dissipative Relativistic Fluid Theories""; ""The Hamiltonian Formulation of Classical Field Theory""; ""The Ricci Flow on Surfaces""; ""Curvature and Compact Spacelike Surfaces in 4-Dimensional Spacetimes""; ""Spacetime Singularities from High Matter Densities (Abstract)""; ""Metric Singularity Phenomena in Pseudo-Riemannian Geometry""; ""Covariant Quantization of Dynamical Systems with Constraints"" ""Problems on Diffeomorphism Arising from Quantum Gravity""""Initial Value Decomposition of the Spacetime Diffeomorphism Group""; ""Inclusion of Fermions in the Wave Function of the Universe""; ""Gauge Symmetries of String Field Theory (Abstract)""; ""Twistors and Strings""; ""List of Participants"" |
| Record Nr. | UNINA-9910480873203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and general relativity : proceedings of the AMS-IMS-SIAM joint summer research conference held June 22-28, 1986 with support from the National Science Foundation / / James A. Isenberg, editor
| Mathematics and general relativity : proceedings of the AMS-IMS-SIAM joint summer research conference held June 22-28, 1986 with support from the National Science Foundation / / James A. Isenberg, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (386 p.) |
| Disciplina | 530.1/1 |
| Collana | Contemporary mathematics |
| Soggetto topico |
General relativity (Physics) - Mathematics
Mathematical physics |
| ISBN |
0-8218-7660-0
0-8218-5079-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Aspects of Quasi-Local Angular Momentum""; ""Some Remarks on the Quasi-Local Mass""; ""Quasi-Local Mass for ""Large"" Spheres""; ""Conserved Quantities as Action Variations""; ""A 3+1 Formulation of Einstein Self-Duality""; ""Quantum Gravity in the Self-Dual Representation""; ""Superspace in the Self-Dual Representation of Quantum Gravity""; ""Self-Dual and Anti-Self-Dual Hermitian Metrics on Compact Complex Surfaces""; ""Instantons on the Quaternionic Siegel Space""; ""Gauge Theories for Fields of Spin-One and Spin-Two""
""Einstein Geometry and Hyperbolic Equations""""The Well-Posedness of Rosen's Field Equations""; ""Dynamics of Quadratic Lagrangians in Gravity: Fairchild's Theory""; ""Stability in Dissipative Relativistic Fluid Theories""; ""The Hamiltonian Formulation of Classical Field Theory""; ""The Ricci Flow on Surfaces""; ""Curvature and Compact Spacelike Surfaces in 4-Dimensional Spacetimes""; ""Spacetime Singularities from High Matter Densities (Abstract)""; ""Metric Singularity Phenomena in Pseudo-Riemannian Geometry""; ""Covariant Quantization of Dynamical Systems with Constraints"" ""Problems on Diffeomorphism Arising from Quantum Gravity""""Initial Value Decomposition of the Spacetime Diffeomorphism Group""; ""Inclusion of Fermions in the Wave Function of the Universe""; ""Gauge Symmetries of String Field Theory (Abstract)""; ""Twistors and Strings""; ""List of Participants"" |
| Record Nr. | UNINA-9910788785803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and general relativity : proceedings of the AMS-IMS-SIAM joint summer research conference held June 22-28, 1986 with support from the National Science Foundation / / James A. Isenberg, editor
| Mathematics and general relativity : proceedings of the AMS-IMS-SIAM joint summer research conference held June 22-28, 1986 with support from the National Science Foundation / / James A. Isenberg, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (386 p.) |
| Disciplina | 530.1/1 |
| Collana | Contemporary mathematics |
| Soggetto topico |
General relativity (Physics) - Mathematics
Mathematical physics |
| ISBN |
0-8218-7660-0
0-8218-5079-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Aspects of Quasi-Local Angular Momentum""; ""Some Remarks on the Quasi-Local Mass""; ""Quasi-Local Mass for ""Large"" Spheres""; ""Conserved Quantities as Action Variations""; ""A 3+1 Formulation of Einstein Self-Duality""; ""Quantum Gravity in the Self-Dual Representation""; ""Superspace in the Self-Dual Representation of Quantum Gravity""; ""Self-Dual and Anti-Self-Dual Hermitian Metrics on Compact Complex Surfaces""; ""Instantons on the Quaternionic Siegel Space""; ""Gauge Theories for Fields of Spin-One and Spin-Two""
""Einstein Geometry and Hyperbolic Equations""""The Well-Posedness of Rosen's Field Equations""; ""Dynamics of Quadratic Lagrangians in Gravity: Fairchild's Theory""; ""Stability in Dissipative Relativistic Fluid Theories""; ""The Hamiltonian Formulation of Classical Field Theory""; ""The Ricci Flow on Surfaces""; ""Curvature and Compact Spacelike Surfaces in 4-Dimensional Spacetimes""; ""Spacetime Singularities from High Matter Densities (Abstract)""; ""Metric Singularity Phenomena in Pseudo-Riemannian Geometry""; ""Covariant Quantization of Dynamical Systems with Constraints"" ""Problems on Diffeomorphism Arising from Quantum Gravity""""Initial Value Decomposition of the Spacetime Diffeomorphism Group""; ""Inclusion of Fermions in the Wave Function of the Universe""; ""Gauge Symmetries of String Field Theory (Abstract)""; ""Twistors and Strings""; ""List of Participants"" |
| Record Nr. | UNINA-9910812567003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular null hypersurfaces in general relativity [[electronic resource] ] : light-like signals from violent astrophysical events / / C. Barrabès, P.A. Hogan
| Singular null hypersurfaces in general relativity [[electronic resource] ] : light-like signals from violent astrophysical events / / C. Barrabès, P.A. Hogan |
| Autore | Barrabes Claude |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2003 |
| Descrizione fisica | 1 online resource (205 p.) |
| Disciplina | 530.11 |
| Altri autori (Persone) | HoganP. A (Peter A.) |
| Soggetto topico |
Hypersurfaces
General relativity (Physics) - Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95602-3
9786611956028 981-279-663-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; 1. Introduction ; 1.1 Synge's Model ; 1.2 Penrose's Cut and Paste Approach ; 1.3 Generalized Lorentz Transformations ; 2. General Description of an Impulsive Light-Like Signal ; 2.1 Distributional Algorithm ; 2.2 Transverse Curvature Algorithm
2.3 Splitting the Signal into a Shell and a Gravitational Wave 2.4 An Example of a Plane Fronted Light-Like Signal ; 3. Illustrations and Implications of the Bianchi Identities ; 3.1 Abrupt Changes in Multipole Moments 3.2 Impulsive Light-Like Signals as Recoil Effects: Electromagnetic Example 3.3 Impulsive Light-Like Signals as Recoil Effects: Gravitational Example ; 3.4 Interaction of Impulsive Light-Like Signals with Matter ; 3.5 Implications of the Bianchi Identities 3.6 Theory of the Detection of Impulsive Light-Like Signals 4. Light-Like Boosts of Gravitating Bodies ; 4.1 Introduction: Light-Like Boost of the Coulomb Field ; 4.2 Boosting an Isolated Gravitating Source ; 4.3 Light-Like Boost of the Kerr Field 4.4 Deflection of Highly Relativistic Particles in the Kerr Field 4.5 The Exceptional Case of a Cosmic String ; 5. Spherically Symmetric Null Shells ; 5.1 Properties and Examples of Non-Stationary Spherical Null Shells ; 5.2 Horizon-Straddling Null Shells 5.3 Colliding Spherical Null Shells |
| Record Nr. | UNINA-9910454086403321 |
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Barrabes Claude
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| River Edge, N.J., : World Scientific, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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