General relativity in the radial gauge: Reduced phase space and canonical structure
Reads0
Chats0
TLDR
In this paper, the authors present a reformulation of the standard canonical approach to spherically symmetric systems in which the radial gauge is imposed, and apply the same techniques to the full theory, without assuming spherical symmetry, resulting in a reduced phase space description of General Relativity.Abstract:
Firstly, we present a reformulation of the standard canonical approach to spherically symmetric systems in which the radial gauge is imposed. This is done via the gauge unfixing techniques, which serves as their exposition in the context of the radial gauge. Secondly, we apply the same techniques to the full theory, without assuming spherical symmetry, resulting in a reduced phase space description of General Relativity. The canonical structure of the theory is analysed. In a companion paper a quantization of the reduced phase space is presented. The construction is well suited for the treatment of spherically symmetric situations and allows for a quantum definition thereof.read more
Citations
More filters
Journal ArticleDOI
Diffeomorphism-invariant observables and their nonlocal algebra
TL;DR: Gauge-invariant observables for quantum gravity are described in this article, with explicit constructions given primarily to leading order in Newton's constant, analogous to and extending constructions first given by Dirac in quantum electrodynamics.
Relativistic Numerical Hydrodynamics
James R. Wilson,Grant J. Mathews +1 more
TL;DR: In this article, the authors introduce relativistic hydrodynamics in three spatial dimensions and show that they can be expressed in terms of relativistically symmetric and axially symmetric hydrodynamic equations.
Journal ArticleDOI
Quantum evolution of black hole initial data sets: Foundations
TL;DR: In this article, a formalism for evolving spherically symmetric black hole initial data sets within a canonical approach to quantum gravity is presented, which can be formulated precisely in quantum reduced loop gravity, a framework which has been successfully applied to give a full theory derivation of loop quantum cosmology.
Posted Content
An elementary introduction to loop quantum gravity
TL;DR: An introduction to loop quantum gravity is given in this paper, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions, which requires only little prior knowledge of quantum mechanics, gauge theory, and general relativity.
Journal ArticleDOI
Quantum reduced loop gravity and the foundation of loop quantum cosmology
TL;DR: Quantum reduced loop gravity as discussed by the authors is a promising framework for linking loop quantum gravity and the effective semiclassical dynamics of loop quantum cosmology, outlining how it provides a quantum description of the Universe in terms of a cuboidal graph which constitutes the proper framework for applying loop techniques in a cosmological setting.
References
More filters
Journal ArticleDOI
On the Lambert W function
TL;DR: A new discussion of the complex branches of W, an asymptotic expansion valid for all branches, an efficient numerical procedure for evaluating the function to arbitrary precision, and a method for the symbolic integration of expressions containing W are presented.
Book
Quantization of Gauge Systems
Marc Henneaux,Claudio Teitelboim +1 more
TL;DR: In this paper, a systematic study of the classical and quantum theories of gauge systems is presented, starting with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems, and the classical foundations of BRST theory are laid out with a review of the necessary concepts from homological algebra.
Journal ArticleDOI
Action Integrals and Partition Functions in Quantum Gravity
TL;DR: In this article, the authors derived finite, purely imaginary values for the actions of the Kerr-Newman solutions and de Sitter space, which they used to evaluate the entropy of these metrics and find that it is always equal to one quarter the area of the event horizon in fundamental units.
Journal ArticleDOI
The Dynamics of General Relativity
TL;DR: This article appeared as Chapter 7 of an often cited compendium edited by L. Witten in 1962 as mentioned in this paper, which is now long out of print and is intended to provide contemporary accessibility to the flavor of the original ideas.
Journal ArticleDOI
Republication of: The dynamics of general relativity
TL;DR: The Golden Oldie as discussed by the authors is an unretouched version of the Witten formulation of General Relativity, originally published as Chap. 7, pp. 227-264, in Gravitation: an introduction to current research, L. Witten, ed.