Geometric surfaces: An invariant characterization of spherically symmetric black hole horizons and wormhole throats

McNutt, David; Julius, William; Gorban, Matthew; Mattingly, Brandon; Brown, Peter; Cleaver, Gerald

doi:10.1103/physrevd.103.124024

Cited by 11 publications

(7 citation statements)

References 33 publications

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“…It is in fact only a maximal surface relating to the given range of coordinates [39,40]. This surface is also not detectable by any scalar invariants (since all invariants are constant) and, thus, is not a geometric surface, as would be expected for a wormhole throat [15].…”

Section: Regarding Electromagnetic "Wormholes"mentioning

confidence: 95%

“…We do note explicitly that the CM invariants will only uniquely characterize these solutions to zeroth order (in derivatives), but such invariants are useful for distinguishing LC solutions. In several cases, we will also present "I" invariants [14], as these invariants are distinct from the CM invariants and may contain information regarding algebraically special surfaces [14,15]. For completeness, we note that all spacetimes considered here are I non-degenerate, as the only case considered with constant scalar invariants is homogeneous [16].…”

Section: Introductionmentioning

confidence: 99%

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An Invariant Characterization of the Levi-Civita Spacetimes

et al. 2021

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In the years 1917–1919 Tullio Levi-Civita published a number of papers presenting new solutions to Einstein’s equations. This work, while partially translated, remains largely inaccessible to English speaking researchers. In this paper we review these solutions, and present them in a modern readable manner. We will also compute both Cartan–Karlhede and Carminati–Mclenaghan invariants such that these solutions are invariantly characterized by two distinct methods. These methods will allow for these solutions to be totally and invariantly characterized. Because of the variety of solutions considered here, this paper will also be a useful reference for those seeking to learn to apply the Cartan–Karlhede algorithm in practice.

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Section: Regarding Electromagnetic "Wormholes"mentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

An Invariant Characterization of the Levi-Civita Spacetimes

et al. 2021

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“…A recently developed formalism of geometric horizons [71][72][73] defines a quasi-local horizon as a hypersurface on which the curvature tensor is algebraically special. Indeed, known black hole horizons are more algebraically special than other regions of spacetime.…”

Section: Scope and Relationsmentioning

confidence: 99%

“…Studies of general spacetimes are ongoing and the exact definition of a geometric horizon has not been fully determined in terms of a particular set of curvature invariants. 73 However, in the case of spherically symmetric black holes, a spherically symmetric apparent horizon is a geometric horizon. 72…”

Section: Scope and Relationsmentioning

confidence: 99%

Black holes and their horizons in semiclassical and modified theories of gravity

Mann,

Murk,

Terno

2021

Preprint

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For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The first is a consequence of the cosmic censorship conjecture, namely that curvature scalars are finite at apparent horizons. The second is that horizons form in finite asymptotic time (i.e. according to distant observers), a property implicitly assumed in conventional descriptions of black hole formation and evaporation. Taking these as the only requirements within the semiclassical framework, we find that in spherical symmetry only two classes of dynamic solutions are admissible, both describing evaporating black holes and expanding white holes. We review their properties and present the implications. The null energy condition is violated in the vicinity of the outer and satisfied in the vicinity of the inner apparent/anti-trapping horizon. Apparent and anti-trapping horizons are timelike surfaces of intermediately singular behavior, which is demonstrated in negative energy density firewalls. These and other properties are also present in axially symmetric solutions. Different generalizations of surface gravity to dynamic spacetimes are discordant and do not match the semiclassical results. We conclude by discussing signatures of these models and implications for the identification of observed ultra-compact objects.

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“…We do note explicitly that the CM invariants will only uniquely characterize these solutions to zeroth order (in derivatives), but such invariants are useful for distinguishing LC solutions. In several cases, we will also present "I" invariants [14], as these invariants are of distinct form to the CM invariants and may contain information regarding algebraically special surfaces [14,15]. For completeness, we note that all spacetimes considered here are I non-degenerate, as the only case considered with constant scalar invariants is homogeneous [16].…”

Section: Introductionmentioning

confidence: 99%

An Invariant Characterization of the Levi-Civita Spacetimes

Watson,

Julius,

Gorban

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

In the years 1917-1919 Tullio Levi-Civita published a number of papers presenting new solutions to Einstein's equations. This work, while partially translated, remains largely inaccessible to English speaking authors. In this paper we review these solutions, and present them in a modern, readable manner. We will also compute both Cartan-Karlhede and Carminati-Mclenaghan invariants such that these solutions are invariantly characterized by two distinct methods. These methods will allow for these solutions to be totally, and invariantly characterized. Because of the variety of solutions considered here, this paper will also be a useful reference for those seeking to learn to apply the Cartan-Karlhede algorithm in practice.

show abstract

Geometric surfaces: An invariant characterization of spherically symmetric black hole horizons and wormhole throats

Cited by 11 publications

References 33 publications

An Invariant Characterization of the Levi-Civita Spacetimes

An Invariant Characterization of the Levi-Civita Spacetimes

Black holes and their horizons in semiclassical and modified theories of gravity

An Invariant Characterization of the Levi-Civita Spacetimes

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