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General Relativity
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The article was published on 1984-01-01 and is currently open access. It has received 8137 citations till now. The article focuses on the topics: Initial value formulation & Hole argument.read more
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Journal ArticleDOI
Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions
TL;DR: In this paper, the authors considered the conformal decomposition of Einstein's constraint equations on a closed manifold and established existence of non-CMC weak solutions using a combination of priori estimates for the individual Hamiltonian and momentum constraints, barrier constructions and fixed point techniques for the Hamiltonian constraint, together with a topological fixed-point argument for the coupled system.
Journal ArticleDOI
String--Kaluza--Klein Cosmology
Klaus Behrndt,Stefan Förste +1 more
TL;DR: In this article, the authors generalize a five dimensional black hole solution of low energy effective string theory to arbitrary constant spatial curvature and obtain that way a four dimensional isotropic cosmological space time.
Journal ArticleDOI
Manifestly gauge-invariant general relativistic perturbation theory: I. Foundations
TL;DR: In this paper, a general framework for linear cosmological perturbation is proposed for the equations of motion for the gauge-invariant observables to all orders in the late universe.
Journal ArticleDOI
On entanglement entropy functionals in higher-derivative gravity theories
TL;DR: In this paper, the surface equation of motion for general four-derivative gravity theory is derived by minimizing the holographic entanglement entropy functional resulting from this proposed formula. But the two results do not match in their entirety.
Book ChapterDOI
Where Is the PdV in the First Law of Black Hole Thermodynamics
TL;DR: In this article, the first law of black hole thermodynamic properties is extended to include a discussion of pressure and volume, and a definition of volume can be used to define the critical point and the associated second order phase transition for a rotating black hole in four-dimensional space-time.
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