000 01793 a2200241 4500
005 20191023170803.0
008 191023b xxu||||| |||| 00| 0 eng d
020 _a9781108480826
040 _cIIT Kanpur
041 _aeng
082 _a530.12
_bL975n
100 _aLusanna, Luca
245 _aNon-inertial frames and dirac observables in relativity
_cLuca Lusanna
260 _bCambridge University Press
_c2019
_aCambridge
300 _axvi, 322p
440 _aCambridge monographs on mathematical physics
490 _a/ edited by S. J. Aarseth
520 _aInterpreting general relativity relies on a proper description of non-inertial frames and Dirac observables. This book describes global non-inertial frames in special and general relativity. The first part covers special relativity and Minkowski space time, before covering general relativity, globally hyperbolic Einstein space-time, and the application of the 3+1 splitting method to general relativity. The author uses a Hamiltonian description and the Dirac–Bergmann theory of constraints to show that the transition between one non-inertial frame and another is a gauge transformation, extra variables describing the frame are gauge variables, and the measureable matter quantities are gauge invariant Dirac observables. Point particles, fluids and fields are also discussed, including how to treat the problems of relative times in the description of relativistic bound states, and the problem of relativistic centre of mass. Providing a detailed description of mathematical methods, the book is perfect for theoretical physicists, researchers and students working in special and general relativity.
650 _aQuantum field theory
650 _aWave equation
650 _aDirac equation
942 _cBK
999 _c560839
_d560839