The relation between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>F</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> gravity and Einstein-conformally invariant Maxwell source

Hendi, S. H.

doi:10.1016/j.physletb.2010.05.035

Cited by 70 publications

(23 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In general, it's a challenge to solve the complicated field equations. Recently, Hendi [71] has discussed the relation between f (R) gravity and Einstein-CIM source, and obtained black hole solutions for the special case f (R) = 0. In fact, for the Lagrangian (2.1), one can straightforward check that the trace of energy-momentum tensor T µ µ vanishes when spacetime dimension n = 4p and enable the field equations to be solved.…”

Section: Charged F (R)-cim Ads Black Holes and Thermodynamicsmentioning

confidence: 99%

Q − Φ criticality and microstructure of charged AdS black holes in f(R) gravity

Deng

Huang

2017

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

The phase transition and critical behaviors of charged AdS black holes in [Formula: see text] gravity with a conformally invariant Maxwell (CIM) source and constant curvature are further investigated. As a highlight, this research is carried out by employing new state parameters [Formula: see text] and contributes to deeper understanding of the thermodynamics and phase structure of black holes. Our analyses manifest that the charged [Formula: see text]-CIM AdS black hole undergoes a first-order small–large black hole phase transition, and the critical behaviors qualitatively behave like a Van der Waals liquid–vapor system. However, differing from the case in Einstein’s gravity, phase structures of the black holes in [Formula: see text] theory exhibit an interesting dependence on gravity modification parameters. Moreover, we adopt the thermodynamic geometry to probe the black hole microscopic properties. The results show that, on the one hand, both the Ruppeiner curvature and heat capacity diverge exactly at the critical point, on the other hand, the [Formula: see text]-CIM AdS black hole possesses the property as ideal Fermi gases. Of special interest, we discover a microscopic similarity between the black holes and a Van der Waals liquid–vapor system.

show abstract

Section: Charged F (R)-cim Ads Black Holes and Thermodynamicsmentioning

confidence: 99%

Q − Φ criticality and microstructure of charged AdS black holes in f(R) gravity

Deng

Huang

2017

Int. J. Mod. Phys. A

View full text Add to dashboard Cite

show abstract

“…One of the special classes of nonlinear electrodynamics is Power Maxwell Invariant (PMI) theory [38,53,54,55,56,57,58,59,60]. The PMI theory has an interesting result which distinguishes this nonlinear theory from others; this theory enjoys conformal invariancy when the power of Maxwell invariant is a quarter of spacetime dimensions (power = dimensions/4).…”

Section: Power Maxwell Invariant (Pmi) Sourcementioning

confidence: 99%

“…It is worth mentioning that the idea is to take advantages of the conformal symmetry to construct the analogues of the 4 dimensional Reissner-Nordström solutions with an inverse square law for the electric field of the point-like charges in arbitrary dimensions. Now, we take into account the Lagrangian of nonlinear PMI model with the following explicit form [38,53,54,55,56,57,58,59,60] L…”

Section: Power Maxwell Invariant (Pmi) Sourcementioning

confidence: 99%

Nonlinearly charged dilatonic black holes and their Brans–Dicke counterpart: energy dependent spacetime

Hendi

Talezadeh

2016

Gen Relativ Gravit

View full text Add to dashboard Cite

Regarding the wide applications of dilaton gravity in the presence of electrodynamics, we introduce a suitable Lagrangian for the coupling of dilaton with gauge field. There are various Lagrangians which show the coupling between scalar fields and electrodynamics with correct special situations. In this paper, taking into account conformal transformation of Brans-Dicke theory with an electrodynamics Lagrangian, we show that how scalar field should couple with electrodynamics in dilaton gravity. In other words, in order to introduce a correct Lagrangian of dilaton gravity, one should check at least two requirements: compatibility with Brans-Dicke theory and appropriate special situations. Finally, we apply the mentioned method to obtain analytical solutions of dilaton-Born-Infeld and Brans-Dicke-Born-Infeld theories with energy dependent spacetime.

show abstract

“…Indeed, the interest for nonlinear electrodynamics started with the work of Born and Infeld [3]. There has been significant interest about black hole solutions [4][5][6][7][8][9][10][11][12][13][14], including regular black holes [15,16], with nonlinear electrodynamics source given as an arbitrary power s of the Maxwell invariant, i.e., F ab F ab s . The nonlinear electrodynamics coupled to general relativity are explored and it has been derived black-hole solutions with interesting asymptotic behaviors [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Nonstatic Charged BTZ-Like Black Holes in N+1 Dimensions

Ghosh

2012

Int. J. Mod. Phys. D

View full text Add to dashboard Cite

We find an exact nonstatic charged BTZ-like solutions, in (N +1)-dimensional Einstein gravity in the presence of negative cosmological constant and a nonlinear Maxwell field defined by a power s of the Maxwell invariant, which describes the gravitational collapse of charged null fluid in an anti-de Sitter background. Considering the situation that a charged null fluid injects into the initially an anti-de Sitter spacetime, we show that a black hole form rather than a naked singularity, irrespective of spacetime dimensions, from gravitational collapse in accordance with cosmic censorship conjecture. The structure and locations of the apparent horizons of the black holes are also determined. It is interesting to see that, in the static limit and when N = 2, one can retrieve 2 + 1 BTZ black hole solutions.

show abstract

The relation between F(R) gravity and Einstein-conformally invariant Maxwell source

Cited by 70 publications

References 75 publications

Q − Φ criticality and microstructure of charged AdS black holes in f(R) gravity

Q − Φ criticality and microstructure of charged AdS black holes in f(R) gravity

Nonlinearly charged dilatonic black holes and their Brans–Dicke counterpart: energy dependent spacetime

Nonstatic Charged BTZ-Like Black Holes in N+1 Dimensions

Contact Info

Product

Resources

About