scholarly journals Reduced phase space optics for general relativity: symplectic ray bundle transfer

2020 ◽  
Vol 37 (4) ◽  
pp. 045002 ◽  
Author(s):  
Nezihe Uzun
Keyword(s):  
General Relativity ◽  
Phase Space ◽  
Space Optics

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

Phase space optics: an alternate approach to freeform optical systems

2013 ◽  
Vol 53 (3) ◽  
pp. 031304 ◽  
Author(s):  
Alois M. Herkommer
Keyword(s):  
Phase Space ◽  
Optical Systems ◽  
Space Optics

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

Universal programmable setup for phase-space optics

2013 ◽  
Author(s):  
J. A. Rodrigo ◽  
T. Alieva ◽  
A. Cámara
Keyword(s):  
Phase Space ◽  
Space Optics

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

Designing Talbot array illuminators with phase-space optics

2006 ◽  
Vol 23 (1) ◽  
pp. 187 ◽  
Author(s):  
Markus Testorf
Keyword(s):  
Phase Space ◽  
Space Optics

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

3D imaging of translucent media with a plenoptic sensor based on phase space optics

2015 ◽  
Author(s):  
Xuanzhe Zhang ◽  
Bohong Shu ◽  
Shaojun Du
Keyword(s):  
Phase Space ◽  
3D Imaging ◽  
Space Optics
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