Compact Three Dimensional Black Hole: Topology Change and Closed Timelike Curve (minor changes)
, 1993 We present a compactified version of the 3-dimensional black hole recently found by considering extra identifications and determine the analytical continuation of the solution beyond its coordinate singularity by extending the identifications to the ...
Bañados M +13 more
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Open and Closed Universes, Initial Singularities and Inflation
, 1994 The existence of initial singularities in expanding universes is proved without assuming the timelike convergence condition. The assumptions made in the proof are ones likely to hold both in open universes and in many closed ones.
A. Borde +39 more
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Geometric Characterizations of Canal Surfaces in Minkowski 3-Space
Mathematics, 2019 Canal surfaces are defined and divided into nine types in Minkowski 3-space E 1 3 , which are obtained as the envelope of a family of pseudospheres S 1 2 , pseudohyperbolic spheres H 0 2 , or lightlike cones Q 2 , whose ...
Jinhua Qian +3 more
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Nonlinearity in quantum theory and closed timelike curves [PDF]
Physical Review D, 1995 17 pages plain TeX, DAMTP R/94 ...
openaire +3 more sources
Unitarity in the presence of closed timelike curves [PDF]
Physical Review D, 2006 We conjecture that, in certain cases, quantum dynamics is consistent in the presence of closed timelike curves. We consider time dependent orbifolds of three dimensional Minkowski space describing, in the limit of large AdS radius, BTZ black holes inside the horizon.
Cornalba, Lorenzo, Costa, Miguel S.
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Blaschke frames and the motion of timelike ruled surfaces in Minkowski 3-space
AIP AdvancesThis study explores the geometry of timelike ruled surfaces and their associated Blaschke frames in Minkowski 3-space. It establishes a mapping from spacelike differentiable curves to timelike ruled surfaces and derives the corresponding differential ...
Awatif Al-Jedani, Rashad A. Abdel-Baky
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A Morse Theory for Massive Particles and Photons in General Relativity
, 1999 In this paper we develop a Morse Theory for timelike geodesics parameterized by a constant multiple of proper time. The results are obtained using an extension to the timelike case of the relativistic Fermat Principle, and techniques from Global Analysis
Antonio Masiello +12 more
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The Timelike Tube Theorem in Curved Spacetime
Communications in Mathematical PhysicsThe timelike tube theorem asserts that in quantum field theory without gravity, the algebra of observables in an open set U is the same as the corresponding algebra of observables in its ``timelike envelope'' E(U), which is an open set that is in general larger. The theorem was originally proved in the 1960's by Borchers and Araki for quantum fields in
Alexander Strohmaier, Edward Witten
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String-supported wormhole spacetimes containing closed timelike curves [PDF]
Physical Review D, 1996 We construct a static axisymmetric wormhole from the gravitational field of two Schwarzschild particles which are kept in equilibrium by strings (ropes) extending to infinity. The wormhole is obtained by matching two three-dimensional timelike surfaces surrounding each of the particles, and thus spacetime becomes non-simply connected.
, Schein, , Aichelburg, , Israel
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Computability of the causal boundary by using isocausality
, 2012 Recently, a new viewpoint on the classical c-boundary in Mathematical Relativity has been developed, the relations of this boundary with the conformal one and other classical boundaries have been analyzed, and its computation in some classes of ...
Beem J K +16 more
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