Tachyon singularity: A spacelike counterpart of the Schwarzschild black hole

Gott, J. Richard

doi:10.1007/bf02737459

Cited by 19 publications

(15 citation statements)

References 26 publications

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“…(3.4) it is easy to recognize the last metric as the so-called AII metric with κ ¼ −1, found in [29] and whose interpretation was first given in [30,31]. We summarize now the principal properties of such space-time, closely following [32], where a detailed description is given.…”

Section: The Topological Schwarzschild Black Holementioning

confidence: 91%

Topological solutions in ungauged supergravity

Cruz-Dombriz

Shahbazi

2014

Phys. Rev. D

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Section: The Topological Schwarzschild Black Holementioning

confidence: 91%

Topological solutions in ungauged supergravity

Cruz-Dombriz

Shahbazi

2014

Phys. Rev. D

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“…This symmetry has been relatively little studied. Applied to the Schwarzschild metric it produces the Peres-Schulman-Gott (PSG) tachyon solution with isometry group SO(2)×SO(2, 1) [39], [40], [41]. This is appropriate for a neutral tachyon moving in a spacetime with one spatial direction compactified; it describes the aftermath of vacuum decay [42].…”

Section: Tachyon Symmetrymentioning

confidence: 99%

Weyl metrics and wormholes

Gibbons

Volkov

2017

J. Cosmol. Astropart. Phys.

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Abstract. We study solutions obtained via applying dualities and complexifications to the vacuum Weyl metrics generated by massive rods and by point masses. Rescaling them and extending to complex parameter values yields axially symmetric vacuum solutions containing singularities along circles that can be viewed as singular matter sources. These solutions have wormhole topology with several asymptotic regions interconnected by throats and their sources can be viewed as thin rings of negative tension encircling the throats. For a particular value of the ring tension the geometry becomes exactly flat although the topology remains non-trivial, so that the rings literally produce holes in flat space. To create a single ring wormhole of one metre radius one needs a negative energy equivalent to the mass of Jupiter. Further duality transformations dress the rings with the scalar field, either conventional or phantom. This gives rise to large classes of static, axially symmetric solutions, presumably including all previously known solutions for a gravity-coupled massless scalar field, as for example the spherically symmetric Bronnikov-Ellis wormholes with phantom scalar. The multi-wormholes contain infinite struts everywhere at the symmetry axes, apart from solutions with locally flat geometry.arXiv:1701.05533v3 [hep-th]

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“…where ds 2 (A)dS is the (anti-)de Sitter background metric (46), m ≡ −n and p = Z 2 1 + Z 2 2 + Z 2 3 . As in [16][17][18], we can make a boost similar to (14), but now in the coordinates Z 0 , Z 3 :…”

Section: Aii and Bi-metrics With λ Are The Schwarzschild-(anti-)de Simentioning

confidence: 99%

“…In fact, by this procedure the Mach-Cherenkov shock-wave is also generated which separates two distinct regions which are described by the AII and BI-metrics. Such tachyonic counterparts of the Schwarzschild black hole solution were subsequently studied in more detail by L. S. Schulman [13] and J. R. Gott [14]. Let us first summarize this procedure by explicitly "boosting" the usual form of the Schwarzschild metric to infinite speed, obtaining thus the gravitational field of a tachyon.…”

Section: Introductionmentioning

confidence: 99%

Interpreting A and B metrics with Λ as gravitational field of a tachyon in an (anti–)de Sitter universe

Hruška

Podolský

2019

Phys. Rev. D

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We investigate main properties and mutual relations of the so-called A and B-metrics with any value of the cosmological constant. In particular, we explicitly show that both the AII and BI-metrics are, in fact, the famous Schwarzschild-(anti-)de Sitter spacetime (that is the AI-metric) boosted to superluminal speed. Together they form the complete gravitational field of a tachyon in Minkowski or (anti-)de Sitter universe. The boundary separating the AII and BI regions is the Mach-Cherenkov shockwave on which the curvature is unbounded. We analyze various geometric features of such spacetimes, we provide their natural physical interpretation, and we visualize them using convenient background coordinates and embeddings. *

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Tachyon singularity: A spacelike counterpart of the Schwarzschild black hole

Cited by 19 publications

References 26 publications

Topological solutions in ungauged supergravity

Topological solutions in ungauged supergravity

Weyl metrics and wormholes

Interpreting A and B metrics with Λ as gravitational field of a tachyon in an (anti–)de Sitter universe

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