2017
DOI: 10.1103/physrevd.95.124021
|View full text |Cite
|
Sign up to set email alerts
|

Pure double-layer bubbles in quadratic F(R) gravity

Abstract: We present a class of spherically symmetric spacetimes corresponding to bubbles separating two regions with constant values of the scalar curvature, or equivalently with two different cosmological constants, in quadratic F (R) theory. The bubbles are obtained by means of the junction formalism, and the matching hypersurface supports in general a thin shell and a gravitational double layer. In particular, we find that pure double layers are possible for appropriate values of the parameters of the model whenever… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

2
51
0

Year Published

2017
2017
2021
2021

Publication Types

Select...
10

Relationship

1
9

Authors

Journals

citations
Cited by 42 publications
(53 citation statements)
references
References 31 publications
2
51
0
Order By: Relevance
“…Strong deflection case on the other hand, is used for another problems: for example, for investigations of so-called relativistic images. To this end, we wish to point out the strong gravitational lensing for the Schwarzschild black hole [5,6], then extended to the Reissner-Nordström black hole [7,8], regular black holes [9], and wormholes [10][11][12][13], while the investigations of so-called relativistic images see also Refs. [14][15][16][17][18][19].…”
mentioning
confidence: 99%
“…Strong deflection case on the other hand, is used for another problems: for example, for investigations of so-called relativistic images. To this end, we wish to point out the strong gravitational lensing for the Schwarzschild black hole [5,6], then extended to the Reissner-Nordström black hole [7,8], regular black holes [9], and wormholes [10][11][12][13], while the investigations of so-called relativistic images see also Refs. [14][15][16][17][18][19].…”
mentioning
confidence: 99%
“…These results were recently extended to any quadratic theory Lagrangian [33]. Within F(R) gravity, several studies have been performed in recent years such as static and spherically symmetric black holes [26,27,[34][35][36][37][38][39], traversable wormholes [40][41][42][43][44][45] and pure double layer bubbles [46].…”
Section: Introductionmentioning
confidence: 99%
“…There exists a sphere around the black hole called "photon sphere", where the deflection angle for the photon can even diverge. Gravitational lensing in the space time of Schwarzschild black holes was first studied by Virbhadra and Ellis [36] and later it was extended to Reissner-Nordstorm [37] and Kerr black holes [38], black holes in brane-world models [39] and Galileon models [40], in extra dimension with Kalb-Ramond field [41] and so on. As strong gravitational lensing in the vicinity of black holes probes different properties of the black holes, it is also useful to probe different modified gravity theories as standard Schwarzschild or Kerr black solutions get modified in different versions of modified gravity theories.…”
Section: Introductionmentioning
confidence: 99%