Charged black strings in a five-dimensional Kasner universe

Ishihara, Hideki; Kimura, Masashi; Matsuno, Ken

doi:10.1103/physrevd.93.024037

Cited by 6 publications

(9 citation statements)

References 83 publications

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“…This solution does not admit additional Killing vectors even in the case with a single point source, so that it is genuinely dynamical. Similar dynamical solutions in FLRW universe can be found e.g., in [75][76][77][78][79][80], which describes respectively a single equilibrium black hole in expanding universe. However, the present solution differs from these solutions in that the current metric (A.6) fails to admit any "near-horizon limit," leading to the singular spacetime.…”

Section: A Curvature Decompositionsupporting

confidence: 68%

Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions

Nozawa

2020

Preprint

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The static and spherically symmetric solutions in n(≥ 4)-dimensional Einstein-phantom-scalar system fall into three family: (i) the Fisher solution, (ii) the Ellis-Gibbons solution, and (iii) the Ellis-Bronnikov solution. We exploit these solutions as seed to generate a bunch of corresponding asymptotically (A)dS spacetimes, at the price of introducing the potential of the scalar field. Despite that the potentials are different for each solution, each potential is expressed in terms of the superpotential as in supergravity. We discuss the global structure of these solutions in detail and spell out the domain of parameters under which each solution represents a black hole/wormhole. The Ellis-Bronnikov class of solutions presents novel examples of spherical traversable wormholes that interpolate two different (A)dS critical points of the (super)potential.

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Section: A Curvature Decompositionsupporting

confidence: 68%

Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions

Nozawa

2020

Preprint

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“…where the base space ds 2 GH = h mn dx m dx n is the timedependent Gibbons-Hawking space [30], [31]. Recently, Ishihara, Kimura and Matsuno pointed out that the metric (2.15) with H = 1 + Q/r, U = 0 can be interpreted as a black string in the fivedimensional Kasner universe [32].…”

Section: A Ungauged Casementioning

confidence: 99%

Black holes in an expanding universe and supersymmetry

Klemm

Nozawa

2016

Physics Letters B

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This paper analyzes the supersymmetric solutions to five and six-dimensional minimal (un)gauged supergravities for which the bilinear Killing vector constructed from the Killing spinor is null. We focus on the spacetimes which admit an additional SO(1, 1) boost symmetry. Upon the toroidal dimensional reduction along the Killing vector corresponding to the boost, we show that the solution in the ungauged case describes a charged, nonextremal black hole in a Friedmann-Lemaître-Robertson-Walker (FLRW) universe with an expansion driven by a massless scalar field. For the gauged case, the solution corresponds to a charged, nonextremal black hole embedded conformally into a Kantowski-Sachs universe. It turns out that these dimensional reductions break supersymmetry since the bilinear Killing vector and the Killing vector corresponding to the boost fail to commute. This represents a new mechanism of supersymmetry breaking that has not been considered in the literature before.PACS numbers:

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“…We also expect the electric charge of the spacetime (3.2) is the same as equation (3.31). As the metric ansatz (3.2) and ( 3.3) and (3.4) are similar to [29], we also expect the spacetime (3.2) can describe the coalescence of the extremal charged black holes in D 6-dimensions, where the spatial section of the black holes consists a copy of the four-dimensional Bianchi type IX. The extremality is coming from noting that the only free parameter in the metric function (3.35) is γ.…”

Section: Embedding the Bianchi Type IX Space In D 6-dimensional Einst...mentioning

confidence: 81%

“…We notice that the exact analytical results (6.10) and (6.17) are the novel results in this article. As the ansatzes for the metric and the Maxwell's field are similar to [29], we expect the exact solutions can describe the coalescence of the extremal charged black holes in D 6-dimensions, where the spatial section of the black holes consists a copy of the four-dimensional Bianchi type IX.…”

Section: Discussionmentioning

confidence: 97%

“…According to our knowledge, there are not any known convolution-like solutions in six dimensional or higher dimensional Einstein-Maxwell theories based on the Bianchi geometries. Moreover, we are inspired with the papers [29], in which the authors constructed charged black hole and black string solutions in five dimensional Einstein-Maxwell theory. The solutions are based on embedding some known four-dimensional geometries, like Kasner space into five dimensions by using appropriate ansatzes for the metric and the Maxwell field.…”

Section: Introductionmentioning

confidence: 99%

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Bianchi IX geometry and the Einstein–Maxwell theory

Ghezelbash

2022

Class. Quantum Grav.

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We construct numerical solutions to the higher-dimensional Einstein-Maxwell theory. The solutions are based on embedding the four dimensional Bianchi type IX space in the theory. We ﬁnd the solutions as superposition of two functions, which one of them can be found numerically. We show that the solutions in any dimensions, are almost regular everywhere, except a singular point. We ﬁnd that the solutions interpolate between the two exact analytical solutions to the higher dimensional Einstein-Maxwell theory, which are based on Eguchi-Hanson type I and II geometries. Moreover, we construct the exact cosmological solutions to the theory, and study the properties of the solutions.

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Charged black strings in a five-dimensional Kasner universe

Cited by 6 publications

References 83 publications

Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions

Static spacetimes haunted by a phantom scalar field III: asymptotically (A)dS solutions

Black holes in an expanding universe and supersymmetry

Bianchi IX geometry and the Einstein–Maxwell theory

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