Cosmological black holes on Taub–NUT space in five-dimensional Einstein–Maxwell theory

Ida, Daisuke; Ishihara, Hideki; Kimura, Masashi; Matsuno, Ken; Morisawa, Yoshiyuki; Tomizawa, Shinya

doi:10.1088/0264-9381/24/13/001

Cited by 32 publications

(37 citation statements)

References 19 publications

(38 reference statements)

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“…In the second class of solutions, we consider equal dilaton coupling constants and find the metric, dilaton and the Maxwell fields. Finally, in the special case which both dilaton coupling constants are zero, the solutions reduce to the results obtained in [6]. We find the c-function for the latter solutions and show that the flow of renormalization group is in agreement with the c-theorem for an asymptotically dS spacetime.…”

Section: Discussionsupporting

confidence: 68%

“…The asymptotically locally flat, dS and AdS solutions to Einstein-Maxwell theory in four and higher dimensions with NUT charges have been found in [1]. Moreover, the black hole solutions with different non-trivial horizons in five dimensions have been found in [2]- [6]. Including the dilaton field as well as axion, as the simplest matter fields to the Einstein-Maxwell theory, opens the door to new solutions and their physical properties in the Einstein-Maxwell-dilaton-(axion) theory with/without the cosmological constant and the Chern-Simons term [7]- [10].…”

Section: Introductionmentioning

confidence: 99%

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Cosmological solutions in five-dimensional Einstein-Maxwell-dilaton theory

Ghezelbash

2015

Phys. Rev. D

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We construct new classes of exact cosmological solutions to five dimensional Einstein-Maxwell-dilaton theory with two coupling constants for the dilaton-Maxwell term and dilaton-cosmological constant term. All the solutions are non-stationary and the solutions that both coupling constants are non-zero are almost regular everywhere. The size of spatial section of the asymptotic metric shrinks to zero at early time and increases to infinitely large at very late time. The cosmological constant depends on the dilaton coupling constant and can take positive, zero or negative values.

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Section: Discussionsupporting

confidence: 68%

Section: Introductionmentioning

confidence: 99%

Cosmological solutions in five-dimensional Einstein-Maxwell-dilaton theory

Ghezelbash

2015

Phys. Rev. D

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“…Black hole solutions on the multicentered-Taub-NUT spaces are obtained by 1 with the sum i 1. These solutions include some previously known solutions, i.e., cosmological nonrotating multi -black hole solutions on the multicentered-Taub-NUT space [36] and rotating multi -black hole solutions on the multi-centered-Taub-NUT space with no cosmological constant [37]. We will study the coalescence of rotating multi -black holes on the multi-centered-Taub-NUT space in the near future.…”

Section: Summary and Discussionmentioning

confidence: 99%

Coalescence of rotating black holes on Eguchi-Hanson space

et al. 2007

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We obtain new charged rotating multi -black hole solutions on the Eguchi-Hanson space in the fivedimensional Einstein-Maxwell system with a Chern-Simons term and a positive cosmological constant. In the two-black holes case, these solutions describe the coalescence of two rotating black holes with the horizon topologies of S 3 into a single rotating black hole with the horizon topology of the lens space L2; 1 S 3 =Z 2 . We discuss the differences in the horizon areas between our solutions and the twocentered Klemm-Sabra solutions which describe the coalescence of two rotating black holes with the horizon topologies of S 3 into a single rotating black hole with the horizon topology of S 3 .

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“…It solves vacuum field equations G µν (g) = 0. We have a theorem about such metrics Theorem: Starting from (7) as seed metric, we perform a reciprocal transformation on it. The following new metric is also an exact solution of vacuum field equations G µν (ḡ) = 0:ḡ…”

Section: Reciprocal Static Metricsmentioning

confidence: 99%

Reciprocal NUT spacetimes

Momeni

Chattopadhyay²,

Myrzakulov

2015

Int. J. Geom. Methods Mod. Phys.

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In this paper, we study the \texttt{Ehlers' transformation} (sometimes called gravitational duality rotation) for \texttt{reciprocal} static metrics. First we introduce the concept of reciprocal metric. We prove a theorem which shows how we can construct a certain new static solution of Einstein field equations using a seed metric. Later we investigate the family of stationary spacetimes of such reciprocal metrics. The key here is a theorem from Ehlers', which relates any static vacuum solution to a unique stationary metric. The stationary metric has a magnetic charge. The spacetime represents Newman -Unti-Tamburino (NUT) solutions. Since any stationary spacetime can be decomposed into a $1+3$ time-space decomposition, Einstein field equations for any stationary spacetime can be written in the form of Maxwell's equations for gravitoelectromagnetic fields. Further we show that this set of equations is invariant under reciprocal transformations. An additional point is that the NUT charge changes the sign. As an instructive example, by starting from the reciprocal Schwarzschild as a spherically symmetric solution and reciprocal Morgan-Morgan disk model as seed metrics we find their corresponding stationary space-times. Starting from any static seed metric, performing the reciprocal transformation and by applying an additional Ehlers' transforation we obtain a family of NUT spaces with negative NUT factor (reciprocal NUT factors).Comment: Accepted in IJGMM

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Cosmological black holes on Taub–NUT space in five-dimensional Einstein–Maxwell theory

Cited by 32 publications

References 19 publications

Cosmological solutions in five-dimensional Einstein-Maxwell-dilaton theory

Cosmological solutions in five-dimensional Einstein-Maxwell-dilaton theory

Coalescence of rotating black holes on Eguchi-Hanson space

Reciprocal NUT spacetimes

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