03207nam 22006375 450 991025744570332120250723161833.03-540-45604-X10.1007/3-540-45604-X(CKB)1000000000777960(SSID)ssj0000323698(PQKBManifestationID)12072466(PQKBTitleCode)TC0000323698(PQKBWorkID)10318932(PQKB)11609573(DE-He213)978-3-540-45604-9(MiAaPQ)EBC3072506(PPN)155191632(EXLCZ)99100000000077796020121227d2002 u| 0engurnn|008mamaatxtccrHamiltonian Field Theory in the Radiating Regime /by Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski1st ed. 2002.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2002.1 online resource (VI, 174 p.) Lecture Notes in Physics Monographs ;70Bibliographic Level Mode of Issuance: Monograph3-642-07681-5 3-540-42884-4 Includes bibliographical references.Preliminaries -- Hamiltonian flows for geometric field theories -- Radiating scalar fields -- The energy of the gravitational field -- Hamiltonians associated with the BMS group.The purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed.Lecture Notes in Physics Monographs ;70GravitationMathematical physicsClassical and Quantum GravityMathematical Methods in PhysicsGravitation.Mathematical physics.Classical and Quantum Gravity.Mathematical Methods in Physics.530.15/474Chrusciel Piotr Tauthttp://id.loc.gov/vocabulary/relators/aut45318Jezierski Jacekauthttp://id.loc.gov/vocabulary/relators/autKijowski Jerzyauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910257445703321Hamiltonian Field Theory in the Radiating Regime2506283UNINA