Flux compactifications in Einstein-Born-Infeld theories

Ramadhan, H. S.; Cahyo, Brian A.; Iqbal, Muhammad

doi:10.1103/physrevd.92.024021

Cited by 5 publications

(2 citation statements)

References 37 publications

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“…One year later, this nonlinear theory was first employed by Hoffmann in context of Einstein gravity [73]. Although BI theory has long been discarded due to its complexity, in recent two decades, different types of black holes in the presence of BI electrodynamics have been investigated [74][75][76][77][78][79][80][81][82][83][84][85].…”

Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

104

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Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

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Section: Jhep05(2016)029mentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

104

View full text Add to dashboard Cite

show abstract

“…To remove this singularity associated with the charged point-like particle, a nonlinear electromagnetic field was introduced by Born and Infeld [1,2]. Einstein-Hilbert gravity in the presence of Born-Infeld (BI) electrodynamics was found by Hoffmann [3] and the exact solutions of this model have been investigated in [4,5,6]. Perturbation theory is an efficient method for weakly coupled theory but it is not suitable for strongly coupled theories.…”

Section: Introductionmentioning

confidence: 99%