Black holes without singularities

Newman, Richard P. A. C.

doi:10.1007/bf00774083

Cited by 22 publications

(14 citation statements)

References 3 publications

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“…For instance, choose any (D − 1)-dimensional proper Riemannian manifold containing a minimal surface S and take its direct product with (IR, −dt 2 ). A more sophisticated yet explicit example for non-static spacetimes was presented by Newman in [15] for the famous Gödel spacetime (see also [9], pp.393-405).…”

Section: Remarksmentioning

confidence: 99%

Trapped surfaces and symmetries

Mars

Senovilla

2003

Class. Quantum Grav.

119

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Section: Remarksmentioning

confidence: 99%

Trapped surfaces and symmetries

Mars

Senovilla

2003

Class. Quantum Grav.

119

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“…Yet it is non-singular [1]. This escape from a singularity occurs because there are bad causality violations in the spacetime [17,19].…”

Section: Open-universe Singularity Theoremsmentioning

confidence: 99%

Open and closed universes, initial singularities, and inflation

1994

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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. (It is further argued that at least some of the expanding closed universes that do not obey a key assumption of the theorem will have initial singularities on other grounds.) The result is significant for two reasons: (a) previous closed-universe singularity theorems have assumed the timelike convergence condition, and (b) the timelike convergence condition is known to be violated in inflationary spacetimes. An immediate consequence of this theorem is that a recent result on initial singularities in open, future-eternal, inflating spacetimes may now be extended to include many closed universes. Also, as a fringe benefit, the time-reverse of the theorem may be applied to gravitational collapse.

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“…Some form of causality assumption is necessary for the topology-change argument of this paper to go through. If no such assumption is made, there are scenarios possible, based on the Gödel solution, that neither possess singularities nor change topology [24][25][26].…”

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confidence: 99%