Intrinsic time quantum geometrodynamics

Ita, Eyo Eyo; Soo, Chopin; Yu, Hoi-Lai

doi:10.1093/ptep/ptv109

Cited by 11 publications

(33 citation statements)

References 11 publications

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“…In [3] a formulation of intrinsic time quantum geometrodynamics (ITQG) is presented, which is applicable to 3 + 1 dimensional spacetime. We would like to study an analogous 2 + 1 formulation corresponding to two spatial and one temporal dimension.…”

Section: Quantum Gravity In 2 + 1 Dimensionmentioning

confidence: 99%

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P-V Criticality of a Modified BTZ Black Hole in 2 + 1 Dimensional Intrinsic Time Quantum Gravity

Kubeka¹

2019

JMP

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Intrinsic time quantum geometrodynamics is a formulation of quantum gravity naturally adapted to 3 + 1 dimensions. In this paper we construct its analogous 2 + 1 formulation, taking note of the mathematical structures which are preserved. We apply the resulting construction to convert the BTZ black hole metric to ITQG framework. We then modify the BTZ black hole in order to investigate the existence of the P-V criticality in ITQG theory.

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Section: Quantum Gravity In 2 + 1 Dimensionmentioning

confidence: 99%

“…The theory of quantum Gravity that encompasses the notion of intrinsic time (Intrinsic Time Quantum Geometrodynamics, ITQG) was recently formulated by Ita et al [3]. The foundational work for the theory was laid down in [4]- [10].…”

Section: Introductionmentioning

confidence: 99%

P-V Criticality of a Modified BTZ Black Hole in 2 + 1 Dimensional Intrinsic Time Quantum Gravity

Kubeka¹

2019

JMP

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“…In the process, we shall isolate the true d.o.f., solve all constraints, resolve the problem of time, and construct the corresponding reduced physical Hamiltonian. Freed from the shackles of the Dirac algebra and first class constraints, it will also be revealed that four-covariance is not really needed to capture the physical content of Einstein's theory [2][3][4][5]; and modifications of GR are in fact allowed within the same framework. This provides a rigorous canonical foundation for the consistency of Horava gravity theories [6] which are obtained by modifying GR through its physical reduced Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Cosmic time and reduced phase space of general relativity

Ita

Soo

2018

Phys. Rev. D

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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 non-vanishing 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 ultra-violet completion of Einstein's theory.

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“…The theory of Intrinsic time quantum gravity (ITQG) [6] presented in this paper is driven by the motivation to solve all of the above difficulties. The choice of the configuration space variable in ITQG will be a unimodular spatial three metric metric and a momentum variable (ultimately known as a momentric) which generates dilations (more precisely SU(3) and SL(3,R) transformations of the metric).…”

Section: Introductionmentioning

confidence: 99%

“…In [6], a new formulation for quantization of the gravitational field in ITQG, is presented. The basic idea, as introduced in [7] and [8], is the concept of a new phase space for gravity which breaks the paradigm of four-dimensional spacetime covariance, shifting the emphasis to three dimensional spatial diffeomorphism invariance combined with a physical Hamiltonian which generates evolution with respect to intrinsic time.…”

Section: Introductionmentioning

confidence: 99%

Symplectic Structure of Intrinsic Time Gravity

Ita

Kubeka

2016

Universe

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Abstract:The Poisson structure of intrinsic time gravity is analysed. With the starting point comprising a unimodular three-metric with traceless momentum, a trace-induced anomaly results upon quantization. This leads to a revision of the choice of momentum variable to the (mixed index) traceless momentric. This latter choice unitarily implements the fundamental commutation relations, which now take on the form of an affine algebra with SU(3) Lie algebra amongst the momentric variables. The resulting relations unitarily implement tracelessness upon quantization. The associated Poisson brackets and Hamiltonian dynamics are studied.

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Intrinsic time quantum geometrodynamics

Cited by 11 publications

References 11 publications

P-V Criticality of a Modified BTZ Black Hole in 2 + 1 Dimensional Intrinsic Time Quantum Gravity

P-V Criticality of a Modified BTZ Black Hole in 2 + 1 Dimensional Intrinsic Time Quantum Gravity

Cosmic time and reduced phase space of general relativity

Symplectic Structure of Intrinsic Time Gravity

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