scholarly journals Scalar-tensor cosmologies with a potential in the general relativity limit: Phase space view

2010 ◽  
Vol 81 (10) ◽  
Author(s):  
Laur Järv ◽  
Piret Kuusk ◽  
Margus Saal
Keyword(s):  
General Relativity ◽  
Phase Space

scholarly journals GENERAL RELATIVITY AS A THEORY OF TWO CONNECTIONS

1994 ◽  
Vol 03 (02) ◽  
pp. 379-392 ◽  
Author(s):  
J. FERNANDO BARBERO G.
Keyword(s):  
General Relativity ◽  
Phase Space ◽  
Hamiltonian Formulation ◽  
The One

We show in this paper that it is possible to formulate general relativity in a phase space coordinatized by two SO(3) connections. We analyze first the Husain-Kuchař model and find a two connection description for it. Introducing a suitable scalar constraint in this phase space we get a Hamiltonian formulation of gravity that is close to the one given by Ashtekar, from which it is derived, but has some interesting features of its own. Among them are a possible mechanism for dealing with the degenerate metrics and a neat way of writing the constraints of general relativity.

scholarly journals Dirac Observables and the Phase Space of General Relativity

2002 ◽  
Vol 34 (10) ◽  
pp. 1685-1699 ◽  
Author(s):  
Hossein Farajollahi ◽  
Hugh Luckock
Keyword(s):  
General Relativity ◽  
Phase Space

scholarly journals Canonical phase space formulation of quasi-local general relativity

2003 ◽  
Vol 20 (21) ◽  
pp. 4507-4531 ◽  
Author(s):  
Ivan Booth ◽  
Stephen Fairhurst
Keyword(s):  
General Relativity ◽  
Phase Space ◽  
Space Formulation

scholarly journals Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetry

1996 ◽  
Vol 119 (4) ◽  
pp. 739-762 ◽  
Author(s):  
Gerhard Rein
Keyword(s):  
General Relativity ◽  
Phase Space ◽  
Existence Result ◽  
Local Existence ◽  
Space Distribution ◽  
Initial Value ◽  
Small Initial Data ◽  
Phase Space Distribution ◽  
Spacetime Singularity ◽  
Cosmological Solutions

AbstractThe Vlasov-Einstein system describes a self-gravitating, collisionless gas within the framework of general relativity. We investigate the initial value problem in a cosmological setting with spherical, plane, or hyperbolic symmetry and prove that for small initial data solutions exist up to a spacetime singularity which is a curvature and a crushing singularity. An important tool in the analysis is a local existence result with a continuation criterion saying that solutions can be extended as long as the momenta in the support of the phase-space distribution of the matter remain bounded.

scholarly journals Cosmic time and reduced phase space of general relativity

2018 ◽  
Vol 97 (10) ◽  
Author(s):  
Eyo Eyo Ita ◽  
Chopin Soo ◽  
Hoi-Lai Yu
Keyword(s):  
General Relativity ◽  
Phase Space ◽  
Cosmic Time

Path integral for (2+1)-dimensional Shape Dynamics

2015 ◽  
Vol 30 (12) ◽  
pp. 1550057
Author(s):  
A. González ◽  
H. Ocampo
Keyword(s):  
General Relativity ◽  
Phase Space ◽  
Path Integral ◽  
York Time ◽  
Path Integral Quantization ◽  
Shape Dynamics ◽  
Gauge Fixing ◽  
Dimensional Shape

We studied the path integral quantization for the Shape Dynamics formulation of General Relativity in the 2+1 torus universe. We show that the Shape Dynamics path integral on the reduced phase space is equivalent with the previous results obtained for the ADM 2+1 gravity and we found that the Shape Dynamics Hamiltonian allows us to establish a straightforward relation between reduced systems in the (τ, V)-form and the τ-form through the York time gauge fixing.

scholarly journals General Relativity and the AKSZ Construction

2021 ◽  
Author(s):  
G. Canepa ◽  
A. S. Cattaneo ◽  
M. Schiavina
Keyword(s):  
General Relativity ◽  
Phase Space ◽  
Classical System ◽  
Time Dimension ◽  
Free Condition ◽  
First Order ◽  
Starting Point ◽  
Cartan Theory ◽  
Partial Implementation ◽  
Torsion Free

AbstractIn this note the AKSZ construction is applied to the BFV description of the reduced phase space of the Einstein–Hilbert and of the Palatini–Cartan theories in every space-time dimension greater than two. In the former case one obtains a BV theory for the first-order formulation of Einstein–Hilbert theory, in the latter a BV theory for Palatini–Cartan theory with a partial implementation of the torsion-free condition already on the space of fields. All theories described here are BV versions of the same classical system on cylinders. The AKSZ implementations we present have the advantage of yielding a compatible BV–BFV description, which is the required starting point for a quantization in presence of a boundary.

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