LEADER 03207nam 22006375 450 001 9910257445703321 005 20250723161833.0 010 $a3-540-45604-X 024 7 $a10.1007/3-540-45604-X 035 $a(CKB)1000000000777960 035 $a(SSID)ssj0000323698 035 $a(PQKBManifestationID)12072466 035 $a(PQKBTitleCode)TC0000323698 035 $a(PQKBWorkID)10318932 035 $a(PQKB)11609573 035 $a(DE-He213)978-3-540-45604-9 035 $a(MiAaPQ)EBC3072506 035 $a(PPN)155191632 035 $a(EXLCZ)991000000000777960 100 $a20121227d2002 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aHamiltonian Field Theory in the Radiating Regime /$fby Piotr T. Chrusciel, Jacek Jezierski, Jerzy Kijowski 205 $a1st ed. 2002. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002. 215 $a1 online resource (VI, 174 p.) 225 1 $aLecture Notes in Physics Monographs ;$v70 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-642-07681-5 311 08$a3-540-42884-4 320 $aIncludes bibliographical references. 327 $aPreliminaries -- Hamiltonian flows for geometric field theories -- Radiating scalar fields -- The energy of the gravitational field -- Hamiltonians associated with the BMS group. 330 $aThe purpose of this monograph is to show that, in the radiation regime, there exists a Hamiltonian description of the dynamics of a massless scalar field, as well as of the dynamics of the gravitational field. The authors construct such a framework extending the previous work of Kijowski and Tulczyjew. They start by reviewing some elementary facts concerning Hamiltonian dynamical systems and then describe the geometric Hamiltonian framework, adequate for both the usual asymptotically-flat-at-spatial-infinity regime and for the radiation regime. The text then gives a detailed description of the application of the new formalism to the case of the massless scalar field. Finally, the formalism is applied to the case of Einstein gravity. The Hamiltonian role of the Trautman--Bondi mass is exhibited. A Hamiltonian definition of angular momentum at null infinity is derived and analysed. 410 0$aLecture Notes in Physics Monographs ;$v70 606 $aGravitation 606 $aMathematical physics 606 $aClassical and Quantum Gravity 606 $aMathematical Methods in Physics 615 0$aGravitation. 615 0$aMathematical physics. 615 14$aClassical and Quantum Gravity. 615 24$aMathematical Methods in Physics. 676 $a530.15/474 700 $aChrusciel$b Piotr T$4aut$4http://id.loc.gov/vocabulary/relators/aut$045318 702 $aJezierski$b Jacek$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKijowski$b Jerzy$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910257445703321 996 $aHamiltonian Field Theory in the Radiating Regime$92506283 997 $aUNINA