Results 21 to 30 of about 108,791 (169)
We solve a $$1+5$$ 1 + 5 -dimensional cylindrical gravitational-wave solution of the Einstein equation, in which there are two curvature singularities. Then we show that one of the curvature singularities can be removed by an extension of the spacetime ...
Yu-Zhu Chen, Wen-Du Li, Wu-Sheng Dai
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Spacetimes with singularities [PDF]
Abstract We report on some advances made in the problem of singularities in general relativity.First is introduced the singular semi-Riemannian geometry for metrics which can change their signature (in particular be degenerate). The standard operations like covariant contraction, covariant derivative, and constructions like the Riemann curvature are ...
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The Singular Nature of Spacetime [PDF]
We consider to what extent the fundamental question of spacetime singularities is relevant for the philosophical debate about the nature of spacetime. After reviewing some basic aspects of the spacetime singularities within general relativity, we argue that the well known difficulty to localize them in a meaningful way may challenge the received ...
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Points in general relativistic shock wave interaction are “regularity singularities” where spacetime is not locally flat [PDF]
We show that the regularity of the gravitational metric tensor in spher- ically symmetric spacetimes cannot be lifted from C0,1 to C1,1 within the class of C1,1 coordinate transformations in a neighborhood of a point of shock wave inter- action in ...
Reintjes, Moritz, Temple, Blake
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Ambient cosmology and spacetime singularities [PDF]
We present a new approach to the issues of spacetime singularities and cosmic censorship in general relativity. This is based on the idea that standard 4-dimensional spacetime is the conformal infinity of an ambient metric for the 5-dimensional Einstein ...
Ignatios Antoniadis +3 more
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Singularities in FLRW spacetimes
We point out that past-incompleteness of geodesics in FLRW spacetimes does not necessarily imply that these spacetimes start from a singularity. Namely, if a test particle that follows such a trajectory has a non-vanishing velocity, its energy was super-Planckian at some time in the past if it kept following that geodesic. That indicates a breakdown of
Lam, Huibert het, Prokopec, Tom
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On the assumptions leading to the information loss paradox
The information loss paradox is usually stated as an incompatibility between general relativity and quantum mechanics. However, the assumptions leading to the problem are often overlooked and, in fact, a careful inspection of the main hypothesises ...
Luca Buoninfante +2 more
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Singularities in hyperscaling violating spacetimes [PDF]
We examine spacetimes which generalize Lifshitz scaling to allow hyperscaling violation invariance (i.e. a constant conformal transformation) for the types of singularities frequently found in the Lifshitz case. We find that most of these spacetimes suffer either from a traditional naked curvature singularity or a null curvature singularity robust ...
Copsey, Keith, Mann, Robert
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Currents and radiation from the large D black hole membrane
It has recently been demonstrated that black hole dynamics in a large number of dimensions D reduces to the dynamics of a codimension one membrane propagating in flat space.
Sayantani Bhattacharyya +6 more
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THE NATURE OF SPACETIME SINGULARITIES [PDF]
Submitted to 100 Years of Relativity - Space-Time Structure: Einstein and Beyond, A. Ashtekar (ed.)
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