2012
DOI: 10.1103/physrevd.86.124047
|View full text |Cite
|
Sign up to set email alerts
|

Rotating black holes in a Randall-Sundrum brane with a cosmological constant

Abstract: In this work we have constructed axially symmetric vacuum solutions of the gravitational field equations in a Randall-Sundrum brane. A non-null effective cosmological constant is considered, and asymptotically de Sitter and anti-de Sitter spacetimes are obtained. The solutions describe rotating black holes in a four-dimensional brane. Optical features of the solutions are treated, emphasizing the rotation of the polarization vector along null congruences.

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

1
13
0
5

Year Published

2013
2013
2024
2024

Publication Types

Select...
8
1

Relationship

2
7

Authors

Journals

citations
Cited by 26 publications
(19 citation statements)
references
References 42 publications
1
13
0
5
Order By: Relevance
“…In this setup, our main goal is to obtain extensions of the usual vacuum and electrovacuum solutions of the general relativity. Our results generalize several previous works presented in the literature [4][5][6][7][8][9]14].…”
Section: Introductionsupporting
confidence: 92%
See 1 more Smart Citation
“…In this setup, our main goal is to obtain extensions of the usual vacuum and electrovacuum solutions of the general relativity. Our results generalize several previous works presented in the literature [4][5][6][7][8][9]14].…”
Section: Introductionsupporting
confidence: 92%
“…In fact, if γ = 0, the admissible base solution (A 0 , A 0 ) is only admissible if q = 0 in Eq. (9), that is, taking as the base solution the Schwarzschild (S), Schwarzschild-de Sitter (S-dS) or Schwarzschild-anti-de Sitter (S-AdS) metric; if the cosmological constant is null, positive or negative respectively. On the other hand, if γ = 0, the constraint parameters must satisfy the relation α − β + 2γ = 0 so that q = 0, and therefore the Reissner-Nordström (RN), Reissner-Nordström-de Sitter (RN-dS) or Reissner-Nordström-anti-de Sitter (RN-AdS) metric is included in the family of extensions constructed.…”
Section: General Characteristics Of the Deformed Solutionsmentioning
confidence: 99%
“…(2) appears similar to a Kerr-Newmann black hole with an event horizon and a Cauchy horizon, while the case with negative q has no analogue in general relativity and thus provides a true signature of the additional spatial dimensions [36,43,44]. Returning back to the main focus of this paper, namely black hole shadow, suppose there exist a source of electromagnetic radiation behind a black hole, from which the photons are reaching us.…”
Section: Black Hole Shadow On the Branementioning
confidence: 99%
“…But, in the axial case, RBHs with rotation need another strategy. For example, by using the Kerr-Schild ansatz [25,26]). In this work, we shall adopt this procedure to construct solutions from the regular metric presented in [17].…”
Section: Introductionmentioning
confidence: 99%