Inhomogeneous torus boundaries in 3D gravity are thermodynamically favourable for AdS in the range 2 < K |Λ|^{-1/2} < 3/√2 and support macroscopic entropy for all Λ.
Well-posed geometric boundary data in General Relativity, I: Dirichlet boundary data
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abstract
In this first work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations with Dirichlet boundary data on a finite timelike boundary, provided the Brown- York stress tensor of the boundary is a Lorentz metric of the same signature (up to an overall sign) as the induced Lorentz metric on the boundary. This is a convexity-type assumption which is an exact analog of a similar result in the Riemannian setting. This assumption on the (extrinsic) Brown-York tensor cannot be dropped in general.
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Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
Dirichlet walls in Einstein gravity allow open sets of initial data to evolve until singularities reach the boundary in finite time.
Develops a hypersurface data formalism as a unifying framework for the characteristic Cauchy problem, Killing initial data, metric expansion, and conformal null infinity in general relativity.
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Undulating Conformal Boundaries in 3D Gravity
Inhomogeneous torus boundaries in 3D gravity are thermodynamically favourable for AdS in the range 2 < K |Λ|^{-1/2} < 3/√2 and support macroscopic entropy for all Λ.
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The yes boundaries wavefunctions of the universe
Using two timelike boundaries and a nearly maximally entangled thermofield double state from dressed de Sitter Hamiltonian theories, the authors construct wavefunctions for extended cosmological spacetimes that include the future wedge and resolve entanglement entropy issues via 3D constrained path
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Dirichlet walls and the end of time
Dirichlet walls in Einstein gravity allow open sets of initial data to evolve until singularities reach the boundary in finite time.
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Abstract null hypersurfaces and characteristic initial value problems in General Relativity
Develops a hypersurface data formalism as a unifying framework for the characteristic Cauchy problem, Killing initial data, metric expansion, and conformal null infinity in general relativity.