Cosmic time and reduced phase space of general relativity

Eyo Eyo Ita, Chopin Soo, Hoi Lai Yu

研究成果: Article

1 引文 (Scopus)

摘要

In an ever-expanding spatially closed universe, the fractional change of the volume is the preeminent intrinsic time interval to describe evolution in general relativity. The expansion of the universe serves as a subsidiary condition which transforms Einstein's theory from a first class to a second class constrained system when the physical degrees of freedom (d.o.f.) are identified with transverse traceless excitations. The super-Hamiltonian constraint is solved by eliminating the trace of the momentum in terms of the other variables, and spatial diffeomorphism symmetry is tackled explicitly by imposing transversality. The theorems of Maskawa-Nishijima appositely relate the reduced phase space to the physical variables in canonical functional integral and Dirac's criterion for second class constraints to nonvanishing Faddeev-Popov determinants in the phase space measures. A reduced physical Hamiltonian for intrinsic time evolution of the two physical d.o.f. emerges. Freed from the first class Dirac algebra, deformation of the Hamiltonian constraint is permitted, and natural extension of the Hamiltonian while maintaining spatial diffeomorphism invariance leads to a theory with Cotton-York term as the ultraviolet completion of Einstein's theory.

原文English
文章編號104021
期刊Physical Review D
97
發行號10
DOIs
出版狀態Published - 2018 五月 15

指紋

relativity
universe
degrees of freedom
subsidiaries
cotton
determinants
invariance
algebra
theorems
intervals
momentum
expansion
symmetry
excitation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

引用此文

Ita, Eyo Eyo ; Soo, Chopin ; Yu, Hoi Lai. / Cosmic time and reduced phase space of general relativity. 於: Physical Review D. 2018 ; 卷 97, 編號 10.
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Cosmic time and reduced phase space of general relativity. / Ita, Eyo Eyo; Soo, Chopin; Yu, Hoi Lai.

於: Physical Review D, 卷 97, 編號 10, 104021, 15.05.2018.

研究成果: Article

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