Charged black holes in the infinite derivative theory of gravity

Abstract The infinite derivative theory of gravity is a generalization of Einstein gravity with many interesting properties, but the black hole solutions in this theory are still not fully understood. In the paper, we concentrate on studying the charged black holes in such a theory. Adding the electromagnetic field part to the effective action, we show how the black hole solutions around the Reissner-Nordstr{\"o}m metric can be solved perturbatively and iteratively. We further calculate the corresponding temperature, entropy and electrostatic potential of the black holes and verify the first law of thermodynamics.

Black hole solutions in gravity with nonminimal derivative coupling and nonlinear material fields

10.1142/s021827182050025x ◽

2020 ◽

Vol 29 (03) ◽

pp. 2050025 ◽

Cited By ~ 1

Author(s):

Mykola M. Stetsko

Keyword(s):

Black Holes ◽

Black Hole ◽

Electromagnetic Field ◽

Nonlinear Material ◽

Derivative Coupling ◽

First Law Of Thermodynamics ◽

Tensor Theory ◽

Static Black Hole ◽

Nonlinear Lagrangians ◽

Scalar–tensor theory of gravity with nonlinear electromagnetic field, minimally coupled to gravity is considered and static black hole solutions are obtained. Namely, power-law and Born–Infeld nonlinear Lagrangians for the electromagnetic field are examined. Since the cosmological constant is taken into account, it allowed us to investigate the so-called topological black holes. Black hole thermodynamics is studied, in particular temperature of the black holes is calculated and examined and the first law of thermodynamics is obtained with help of Wald’s approach.

Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity

Modern Physics Letters A ◽

10.1142/s021773232050193x ◽

2020 ◽

Vol 35 (23) ◽

pp. 2050193

Author(s):

Cai-Ying Shao ◽

Yu Hu ◽

Yu-Jie Tan ◽

Cheng-Gang Shao ◽

Kai Lin ◽

...

Keyword(s):

Black Holes ◽

Black Hole ◽

Matrix Method ◽

Quasinormal Modes ◽

Einstein Gravity ◽

Late Time ◽

Charged Black Holes ◽

The Matrix ◽

Black Hole Solutions ◽

Extremal Black Holes

In this paper, we study the quasinormal modes of the massless Dirac field for charged black holes in Rastall gravity. The spherically symmetric black hole solutions in question are characterized by the presence of a power-Maxwell field, surrounded by the quintessence fluid. The calculations are carried out by employing the WKB approximations up to the 13th-order, as well as the matrix method. The temporal evolution of the quasinormal modes is investigated by using the finite difference method. Through numerical simulations, the properties of the quasinormal frequencies are analyzed, including those for the extremal black holes. Among others, we explore the case of a second type of extremal black holes regarding the Nariai solution, where the cosmical and event horizon coincide. The results obtained by the WKB approaches are found to be mostly consistent with those by the matrix method. It is observed that the magnitudes of both real and imaginary parts of the quasinormal frequencies increase with increasing [Formula: see text], the spin–orbit quantum number. Also, the roles of the parameters [Formula: see text] and [Formula: see text], associated with the electric charge and the equation of state of the quintessence field, respectively, are investigated regarding their effects on the quasinormal frequencies. The magnitude of the electric charge is found to sensitively affect the time scale of the first stage of quasinormal oscillations, after which the temporal oscillations become stabilized. It is demonstrated that the black hole solutions for Rastall gravity in asymptotically flat spacetimes are equivalent to those in Einstein gravity, featured by different asymptotical spacetime properties. As one of its possible consequences, we also investigate the behavior of the late-time tails of quasinormal models in the present model. It is found that the asymptotical behavior of the late-time tails of quasinormal modes in Rastall theory is governed by the asymptotical properties of the spacetimes of their counterparts in Einstein gravity.

Black hole solutions and thermodynamics in the infinite derivative theory of gravity

Physical Review D ◽

10.1103/physrevd.103.044064 ◽

2021 ◽

Vol 103 (4) ◽

Author(s):

Yong Xiao ◽

Yong Chen ◽

Haiyuan Feng ◽

Chenrui Zhu

Keyword(s):

Black Hole ◽

Theory Of Gravity ◽

Infinite Derivative ◽

ENTROPY OF EXTREMAL DYONIC BLACK HOLES

Modern Physics Letters A ◽

10.1142/s0217732396002903 ◽

1996 ◽

Vol 11 (37) ◽

pp. 2933-2939 ◽

Cited By ~ 3

Author(s):

A. GHOSH ◽

P. MITRA

Keyword(s):

Black Holes ◽

Black Hole ◽

String Theory ◽

Extremal Black Hole ◽

Classical Action ◽

Charged Black Holes ◽

Thermodynamic Entropy ◽

For extremal charged black holes, the thermodynamic entropy is proportional to the mass or charges but not proportional to the area. This is demonstrated here for dyonic extremal black hole solutions of string theory. It is pointed out that these solutions have zero classical action although the area is nonzero. By combining the general form of the entropy allowed by thermodynamics with recent observations in the literature it is possible to fix the entropy almost completely.

Exact charged black hole solutions in D-dimensions in f(R) gravity

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09122-8 ◽

2021 ◽

Vol 81 (4) ◽

Author(s):

Zi-Yu Tang ◽

Bin Wang ◽

Eleftherios Papantonopoulos

Keyword(s):

Black Holes ◽

Black Hole ◽

General Solution ◽

Constant Curvature ◽

Black Hole Solution ◽

Einstein Gravity ◽

Charged Black Hole ◽

Spherically Symmetric ◽

Spherically Symmetric Metric ◽

AbstractWe consider Maxwell-f(R) gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f(R) we find a general black hole solution in D-dimensions. This general black hole solution can reduce to the Reissner–Nordström (RN) black hole in D-dimensions in Einstein gravity and to the known charged black hole solutions with constant curvature in f(R) gravity. Restricting the parameters of the general solution we get polynomial solutions which reveal novel properties when compared to RN black holes. Specifically we study the solution in $$(3+1)$$ ( 3 + 1 ) -dimensions in which the form of f(R) can be solved explicitly giving a dynamic curvature and compare it with the RN black hole. We also carry out a detailed study of its thermodynamics.

Slowly rotating black holes with nonlinear electrodynamics in five dimensions

10.1142/s0218271814500953 ◽

2014 ◽

Vol 23 (11) ◽

pp. 1450095 ◽

Cited By ~ 2

Author(s):

S. H. Hendi ◽

M. Sepehri Rad

Keyword(s):

Black Holes ◽

Black Hole ◽

Einstein Gravity ◽

Rotation Parameter ◽

Nonlinear Electrodynamics ◽

Five Dimensions ◽

Angular Momenta ◽

Static Black Hole ◽

Rotating Black Holes ◽

Employing linear order perturbation theory with the rotation parameter as the perturbative parameter, we obtain asymptotically AdS slowly rotating black hole solutions in the Einstein gravity with Born–Infeld (BI) type nonlinear electrodynamics (NED). We start from asymptotically AdS static black hole solutions coupled to BI type NED in five dimensions. Then, we consider the effect of adding a small amount of angular momenta to the seed solutions. Finally, we investigate the geometry and thermodynamic properties of the solutions.

S-DUALITY AND THE ENTROPY OF BLACK HOLES IN HETEROTIC STRING THEORY

Modern Physics Letters A ◽

10.1142/s0217732396003088 ◽

1996 ◽

Vol 11 (39n40) ◽

pp. 3103-3111 ◽

Cited By ~ 1

Author(s):

AMIT GHOSH ◽

JNANADEVA MAHARANA

Keyword(s):

Black Holes ◽

Black Hole ◽

Partition Function ◽

Heterotic String ◽

Heterotic String Theory ◽

Charged Black Holes ◽

Duality Transformations ◽

Extremal Limit ◽

Electrically Charged ◽

Four-dimensional heterotic string effective action is known to admit non-rotating electrically and magnetically charged black hole solutions. The partition function and entropy is computed for electrically charged black holes and is vanishing in some extremal limit. For the magnetically charged black holes the entropy is also argued to be vanishing in the same extremal limit when these black hole solutions are related by S-duality transformations.

NONLINEAR CHARGED BLACK HOLES IN AdS QUASI-TOPOLOGICAL GRAVITY

10.1142/s0218271813500764 ◽

2013 ◽

Vol 22 (13) ◽

pp. 1350076 ◽

Cited By ~ 5

Author(s):

MOHAMMAD GHANAATIAN ◽

AFSANEH BAZRAFSHAN

Keyword(s):

Black Holes ◽

Black Hole ◽

Electromagnetic Field ◽

Fourth Order ◽

Naked Singularity ◽

Charged Black Holes ◽

Topological Parameters ◽

Mass Temperature ◽

Topological Gravity ◽

The Stability

In this paper, we present the static charged solutions of quartic quasi-topological gravity in the presence of a nonlinear electromagnetic field. Two branches of these solutions present black holes with one or two horizons or a naked singularity depending on the charge and mass of the black hole. The entropy of the charged black holes of fourth-order quasi-topological gravity through the use of Wald formula is computed and the mass, temperature and the charge of these black holes are found as well. We show that black holes with spherical, flat and hyperbolical horizon in quasi-topological gravity are stable for any allowed quasi-topological parameters. We also investigate the stability of nonlinear charged black holes.

Thermodynamics of spherically symmetric black holes in scale-dependent gravity

The European Physical Journal C ◽

10.1140/epjc/s10052-020-08741-x ◽

2020 ◽

Vol 80 (12) ◽

Author(s):

P. Bargueño ◽

J. A. Miralles ◽

J. A. Pons

Keyword(s):

Black Holes ◽

Black Hole ◽

Spatial Variation ◽

Gravitational Constant ◽

Spherically Symmetric ◽

Equilibrium Thermodynamics ◽

First Law Of Thermodynamics ◽

Symmetric Black Hole ◽

AbstractIn this work we extend the first law of thermodynamics to spherically symmetric black hole solutions in the context of scale-dependent gravity. After deriving generalized expressions for both the entropy and energy due to the spatial variation of the gravitational constant we analize, by pointing out some relations between scale-dependent and f(R) theories, whether or not the former can be described using equilibrium thermodynamics.

MULTI-BLACK HOLES AND INSTANTONS IN EFFECTIVE STRING THEORY

10.1142/s0218271898000073 ◽

1998 ◽

Vol 07 (01) ◽

pp. 73-80

Author(s):

S. DEMELIO ◽

S. MIGNEMI

Keyword(s):

Black Holes ◽

Black Hole ◽

String Theory ◽

Higher Dimensions ◽

Field Equations ◽

Charged Black Holes ◽

Effective String Theory ◽

The effective four-dimensional action for string theory contains non-minimal couplings of the dilaton and the moduli arising from the compactification of higher dimensions. We show that the resulting field equations admit multi-black hole solutions. The Euclidean continuation of these solutions can be interpreted as an instanton mediating the splitting and recombination of the throat of extremal magnetically charged black holes.