LEADER 04457nam 2200649 450 001 9910467858003321 005 20200520144314.0 010 $a3-11-038340-3 010 $a3-11-035178-1 024 7 $a10.1515/9783110351781 035 $a(CKB)3850000000001206 035 $a(MiAaPQ)EBC4851863 035 $a(DE-B1597)276799 035 $a(OCoLC)986030583 035 $a(OCoLC)987927213 035 $a(DE-B1597)9783110351781 035 $a(Au-PeEL)EBL4851863 035 $a(CaPaEBR)ebr11380709 035 $a(CaONFJC)MIL1008620 035 $a(EXLCZ)993850000000001206 100 $a20170519h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 00$aMetric theories of gravity $eperturbations and conservation laws /$fAlexander N. Petrov, [and three others] 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2017. 210 4$dİ2017 215 $a1 online resource (622 pages) 225 1 $aDe Gruyter Studies in Mathematical Physics ;$vVolume 38 311 $a3-11-035173-0 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tPreface -- $tContents -- $tList of Figures -- $tPrimary notations -- $t1. Conservation laws in theoretical physics: A brief introduction -- $t2. Field-theoretical formulation of general relativity: The theory -- $t3. Asymptotically flat spacetime in the field-theoretical formulation -- $t4. Exact solutions of general relativity in the field-theoretical formalism -- $t5. Field-theoretical derivation of cosmological perturbations -- $t6. Currents and superpotentials on arbitrary backgrounds: Three approaches -- $t7. Conservation laws in an arbitrary multi-dimensional metric theory -- $t8. Conserved quantities in the Einstein-Gauss-Bonnet gravity -- $t9. Generic gravity: Particle content, weak field limits, conserved charges -- $t10. Conservation laws in covariant field theories with gauge symmetries -- $tAppendix A: Tensor quantities and tensor operations -- $tAppendix B: Retarded functions -- $tBibliography -- $tIndex 330 $aBy focusing on the mostly used variational methods, this monograph aspires to give a unified description and comparison of various ways of constructing conserved quantities for perturbations and to study symmetries in general relativity and modified theories of gravity. The main emphasis lies on the field-theoretical covariant formulation of perturbations, the canonical Noether approach and the Belinfante procedure of symmetrisation. The general formalism is applied to build the gauge-invariant cosmological perturbation theory, conserved currents and superpotentials to describe physically important solutions of gravity theories. Meticulous attention is given to the construction of conserved quantities in asymptotically-flat spacetimes as well as in asymptotically constant curvature spacetimes such as the Anti-de Sitter space. Significant part of the book can be used in graduate courses on conservation laws in general relativity. THE SERIES: DE GRUYTER STUDIES IN MATHEMATICAL PHYSICS The series is devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply, and develop further, with sufficient rigor, mathematical methods to given problems in physics. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels. 410 0$aDe Gruyter studies in mathematical physics ;$vVolume 38. 606 $aGravity 606 $aGravity anomalies 606 $aGravitational waves 606 $aGeneral relativity (Physics) 606 $aForce and energy 608 $aElectronic books. 615 0$aGravity. 615 0$aGravity anomalies. 615 0$aGravitational waves. 615 0$aGeneral relativity (Physics) 615 0$aForce and energy. 676 $a531/.1401 700 $aPetrov$b Alexander N., $01050899 702 $aPetrov$b Alexander N. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910467858003321 996 $aMetric theories of gravity$92481025 997 $aUNINA