Quasi-local conservation equations in general relativity
J. H. Yoon,J. H. Yoon +1 more
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TLDR
In this paper, a set of exact quasi-local conservation equations is derived from the Einstein's equations using the first-order Kaluza-Klein formalism of general relativity in the (2, 2)-splitting of 4-dimensional spacetime.About:
This article is published in Physics Letters A.The article was published on 2001-12-31 and is currently open access. It has received 10 citations till now. The article focuses on the topics: Conservation law & Euler equations.read more
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Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
TL;DR: The present status of the quasi-local mass-energy-momentum and angular momentum constructions in general relativity is reviewed.
Journal ArticleDOI
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity.
TL;DR: The present status of the quasi-local mass, energy-Momentum and angular-momentum constructions in general relativity is reviewed.
Journal ArticleDOI
New Hamiltonian formalism and quasilocal conservation equations of general relativity
TL;DR: In this paper, the authors describe the Einstein's gravitation of 3+1 dimensional spacetimes using the (2,2) formalism without assuming isometries, and identify the quasi-local energy, linear momentum, and angular momentum from the four Einstein's equations of the divergencetype.
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Born’s Reciprocal Gravity in Curved Phase-Spaces and the Cosmological Constant
TL;DR: In this paper, the curvature of the 8D cotangent space has been constructed using a Kaluza-Klein-like approach based on the (torsionless) Levi-Civita connection and the observed value of the cosmological constant.
Journal ArticleDOI
Quaternionic-valued Gravitation in 8 D , Grand Unification and Finsler Geometry
TL;DR: In this paper, a unification model of 4D gravity and SU(3)×SU(2)×U(1) Yang-Mills theory is presented from a Kaluza-Klein compactification of 8D quaternionic gravity on an internal CP 2 =SU(3)/U(2)-symmetric space.
References
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Quasilocal energy and conserved charges derived from the gravitational action
J. D Brown,James W. York +1 more
TL;DR: For spherically symmetric spacetimes, it is shown that the quasilocal energy has the correct Newtonian limit, and includes a negative contribution due to gravitational binding.
Book
Black holes: The membrane paradigm
TL;DR: In this article, the physics of black holes are explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space, and a 3+1 formalism is used to split Schwarzschild space-time and the laws of physics outside a nonrotating hole.
Black holes: The membrane paradigm
TL;DR: In this article, the physics of black holes are explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space, and a 3+1 formalism is used to split Schwarzschild space-time and the laws of physics outside a nonrotating hole.
Journal ArticleDOI
Gravitational energy in spherical symmetry.
TL;DR: All these inequalities extend to the asymptotic energies, recovering the Bondi-Sachs energy loss and the positivity of theAsymptosis energies, as well as proving the conjectured Penrose inequality for black or white holes.
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