Matter without matter: Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity

Maeda, Hideki; Dadhich, Naresh

doi:10.1103/physrevd.75.044007

Cited by 61 publications

(70 citation statements)

References 33 publications

(44 reference statements)

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“…The analogues of Vaidya and NUT have been obtained and they follow in a straightforward way [6] and so does the analogue of radiating NUT which we have obtained in the following. However it is not possible to obtain the Kerr analogue in this setting because axial symmetry of the Kerr geometry is not compatible with the spherical symmetry of space of constant curvature of K n−4 .…”

Section: Introductionmentioning

confidence: 98%

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On Kaluza–klein Space–time in Einstein–gauss–bonnet Gravity

Molina

Dadhich

2009

Int. J. Mod. Phys. D

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By considering the product of the usual four dimensional spacetime with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein-GaussBonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However there exists no Kerr analogue in this setting. To get the physical feel of the four dimensional black hole spacetimes, we study asymptotic behavior of stresses at the two ends, r → 0 and r → ∞.

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Section: Introductionmentioning

confidence: 98%

“…In the next subsections, we shall first recall the analogues of Schwarzschild, Vaidya and NUT solutions obtained in Ref. [6] and shall then make NUT solution radiate as well as show that there exists no Kerr analogue in this setting.…”

Section: Exact Solutionsmentioning

confidence: 99%

On Kaluza–klein Space–time in Einstein–gauss–bonnet Gravity

Molina

Dadhich

2009

Int. J. Mod. Phys. D

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“…In four dimension, Maxwell field is characterized by T = 0. The scalar constraint also implies vanishing of trace and that is why gravitational charge, q resembles Maxwell charge [10].…”

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confidence: 99%

Origin of Matter Out of Pure Curvature

Dadhich

Maeda

2008

Int. J. Mod. Phys. D

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We propose a mechanism for origin of matter in the universe in the framework of Einstein-GaussBonnet gravity in higher dimensions. The recently discovered new static black hole solution by the authors [1] with the Kaluza-Klein split up of spacetime as a product of the usual M 4 with a space of negative constant curvature is indeed a pure gravitational creation of a black hole which is also endowed with a Maxwell-like gravitational charge in four-dimensional vacuum spacetime.Further it could be envisioned as being formed from anti-de Sitter spacetime by collapse of radially inflowing charged null dust. It thus establishes the remarkable reciprocity between matter and gravity -as matter produces gravity (curvature), gravity too produces matter.

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“…For the null case (D a r)(D a r) = 0 [27], on the other hand, there are the Nariai-Bertotti-Robinson type solutions [28] as in the case with or without the Maxwell field in general relativity [29] and in the Einstein-Gauss-Bonnet gravity [24,30,31]. In the case of Θ = 0, the generalized Jebsen-Birkhoff theorem for the vacuum case was shown in [20].…”

Section: The Jebsen-birkhoff Theoremmentioning

confidence: 99%

“…Nontrivial examples of the Einstein space satisfying the horizon condition (2.15) are presented in [20,23,24]. An example of the Einstein space satisfying the horizon condition that we will consider below is given by a product space of arbitrary number of two-dimensional spaces of constant curvature K 2 with the same warp factor.…”

Section: Ansätzementioning

confidence: 99%

Magnetic black holes with higher-order curvature and gauge corrections in even dimensions

Maeda

Hassaı̈ne

Martínez

2010

J. High Energ. Phys.

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We obtain magnetic black-hole solutions in arbitrary n(≥ 4) even dimensions for an action given by the Einstein-Gauss-Bonnet-Maxwell-Λ pieces with the F 4 gauge-correction terms. This action arises in the low energy limit of heterotic string theory with constant dilaton and vanishing higher form fields. The spacetime is assumed to be a warped product M 2 × K n−2 , where K n−2 is a (n − 2)-dimensional Einstein space satisfying a condition on its Weyl tensor, originally considered by Dotti and Gleiser. Under a few reasonable assumptions, we establish the generalized JebsenBirkhoff theorem for the magnetic solution in the case where the orbit of the warp factor on K n−2 is non-null. We prove that such magnetic solutions do not exist in odd dimensions. In contrast, in even dimensions, we obtain an explicit solution in the case where K n−2 is a product manifold of (n − 2)/2 two-dimensional maximally symmetric spaces with the same constant warp factors. In this latter case, we show that the global structure of the spacetime sharply depends on the existence of the gauge-correction terms as well as the number of spacetime dimensions.

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Matter without matter: Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity

Cited by 61 publications

References 33 publications

On Kaluza–klein Space–time in Einstein–gauss–bonnet Gravity

On Kaluza–klein Space–time in Einstein–gauss–bonnet Gravity

Origin of Matter Out of Pure Curvature

Magnetic black holes with higher-order curvature and gauge corrections in even dimensions

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