Localized brane-world black hole analytically connected to an AdS5 boundary

Nakas, Theodoros; Kanti, Panagiota

doi:10.1016/j.physletb.2021.136278

Cited by 7 publications

(9 citation statements)

References 43 publications

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“…What we should also stress is the emergence of a regime close to the Cauchy horizon where the energy conditions are violated since ρ E < p 2 . The same behaviour was also observed in our previous work [84] and seems to be a requisite for the localisation of the black-hole topology close to the brane as well as for the transition to a pure AdS 5 spacetime which, by construction, is characterised by the relation…”

Section: The Gravitational Theorysupporting

confidence: 84%

“…Indeed, the aforementioned equation reveals the exponential decrease of r H as |y 0 | increases and the existence of a value where the horizon vanishes, namely at |y 0 | = ln(2M k + 1)/k. Beyond this point, any y-slice of the five-dimensional spacetime is horizon-free and almost pure AdS, as was shown in [84]. In addition, the black-hole singularity was strictly localised on the brane as in the present analysis.…”

Section: 𝛬 >supporting

confidence: 67%

“…The aforementioned, rather minimal, content of the bulk energy-momentum tensor was first found in the case where the brane background was assumed to be the Schwarzschild solution [84]. As we see, this structure persists also in the case where the brane background assumes the form of more generalised four-dimensional black-hole solutions.…”

Section: The Gravitational Theorysupporting

confidence: 62%

“…In a recent work of ours [84], we have addressed the above question and constructed from first principles, the geometry of an analytic, spherically-symmetric five-dimensional black hole. This was done by combining both bulk and brane perspectives, that is by employing a set of coordinates that ensured the isotropy of the five-dimensional spacetime and combining it with an appropriately selected metric function of the four-dimensional line-element.…”

Section: Prologuementioning

confidence: 99%

“…This case was studied in [84] where it was shown that the black-hole horizon was exponentially localised close to the brane. Indeed, the aforementioned equation reveals the exponential decrease of r H as |y 0 | increases and the existence of a value where the horizon vanishes, namely at |y 0 | = ln(2M k + 1)/k.…”

Section: 𝛬 >mentioning

confidence: 99%

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Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach

Nakas,

Kanti

2021

Preprint

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In this work, we construct a five-dimensional spherically-symmetric, charged and asymptotically Anti-de Sitter black hole with its singularity being point-like and strictly localised on our brane. In addition, the induced brane geometry is described by a Reissner-Nordström-(A)dS line-element. We perform a careful classification of the horizons, and demonstrate that all of them are exponentially localised close to the brane thus exhibiting a pancake shape. The bulk gravitational background is everywhere regular, and reduces to an AdS 5 spacetime right outside the black-hole event horizon. This geometry is supported by an anisotropic fluid with only two independent components, the energy density ρ E and tangential pressure p 2 . All energy conditions are respected close to and on our brane, but a local violation takes place within the event horizon regime in the bulk. A tensor-vector-scalar field-theory model is built in an attempt to realise the necessary bulk matter, however, in order to do so, both gauge and scalar degrees of freedom need to turn phantom-like at the bulk boundary. The study of the junction conditions reveals that no additional matter needs to be introduced on the brane for its consistent embedding in the bulk geometry apart from its constant, positive tension. We finally compute the effective gravitational equations on the brane, and demonstrate that the Reissner-Nordström-(A)dS geometry on our brane is caused by the combined effect of the five-dimensional geometry and bulk matter with its charge being in fact a tidal charge.

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Section: The Gravitational Theorysupporting

confidence: 84%

Section: 𝛬 >supporting

confidence: 67%

Section: The Gravitational Theorysupporting

confidence: 62%

Section: Prologuementioning

confidence: 99%

Section: 𝛬 >mentioning

confidence: 99%

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Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach

Nakas,

Kanti

2021

Preprint

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Braneworld‐Klein‐Gordon System in the Framework of Gravitational Decoupling

León

Sotomayor

2021

Fortschritte der Physik

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We analyze the effective field equations of the Randall-Sundrum braneworld coupled with a Klein-Gordon scalar field through the minimal geometric deformation decoupling method (MGD-decoupling). We introduce two different ways to apply the MGD-decoupling method to obtain new solutions for this enlarged system. We also compare the behavior of the new solutions with those obtained directly from the Randall-Sumdrum braneworld without coupling to the scalar field.

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Five-dimensional regular black holes in a brane world

Neves

2021

Phys. Rev. D

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Localized brane-world black hole analytically connected to an AdS5 boundary

Cited by 7 publications

References 43 publications

Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach

Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach

Braneworld‐Klein‐Gordon System in the Framework of Gravitational Decoupling

Five-dimensional regular black holes in a brane world

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