Standard cosmology on a self-tuning domain wall

Kennedy, Conall; Prodanov, Emil M.

doi:10.1016/s0370-2693(00)01387-3

Cited by 2 publications

(3 citation statements)

References 31 publications

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“…Thus, we can point out that the warp factor locally modifies both the geometry as the content of the energy momentum tensor. Examples in 5D, where the energy momentum tensor depends on the extra coordinate we can see in reference [19] for brane world models, and, where the energy momentum tensor depends on the radial coordinate in reference [20] for black strings surrounded by quintessence matter.…”

Section: Our Modelmentioning

confidence: 99%

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A new exact solution of black-strings-like with a dS core

Estrada

2021

Preprint

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We provide a new five dimensional black string-like solution by means of the embedding of a four dimensional regular black hole into a compact extra dimension. We enunciate a list of constraints in order to that the five dimensional black string-like solution to be regular, and, following these constraints we construct our solution. Instead of the usual singularity, it is formed a core whose topology corresponds to the product between the de-Sitter core of the four dimensional Hayward solution and S 1 . The horizon has topology S 2 × S 1 . At infinity of the radial coordinate the regular four dimensional geometry is asymptotically flat, i.e, at this place the topology of the complete solution corresponds to the product between Minkowski and S 1 . At the induced four dimensional geometry we compute the correct values of temperature and entropy.

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Section: Our Modelmentioning

confidence: 99%

“…From this latter equation it is direct to check that Ä = 0. Thus, using the condition (19), the two first terms of the equation ( 18) and the three first terms of the equations ( 16) and ( 17) are equal to zero.…”

Section: B Equations Of Motionmentioning

confidence: 99%

A new exact solution of black-strings-like with a dS core

Estrada

2021

Preprint

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“…(19). For this let us consider a general energy momentum tensor, only constrained by the symmetries of the space, [10] T C N = diag(−ρ(t, ϕ), p(t, ϕ), p(t, ϕ), p(t, ϕ), p 5 (t, ϕ)) . (34) Firstly, to have a solution with the line element (29) is necessary to be restricted to the case Λ 5D < 0.…”

Section: Radiation Dominationmentioning

confidence: 99%