Exact 2+1 dimensional rotating black hole solution in f(R)-gravity and its thermodynamical properties

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work, the analysis is extended to a rotating black hole solution of an Einstein–Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.

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THERMODYNAMICAL PROPERTIES AND QUASI-LOCALIZED ENERGY OF THE STRINGY DYONIC BLACK HOLE SOLUTION

Modern Physics Letters A ◽

10.1142/s0217732312501696 ◽

2012 ◽

Vol 27 (29) ◽

pp. 1250169 ◽

Cited By ~ 3

Author(s):

I-CHING YANG ◽

BAI-AN CHEN ◽

CHUNG-CHIN TSAI

Keyword(s):

Heat Flux ◽

Black Hole ◽

Black Hole Solution ◽

Dual Transformation ◽

Outer Horizon ◽

Thermodynamical Properties ◽

Inner Horizon ◽

The Difference

In this paper, we calculate the heat flux passing through the horizon TS|rh and the difference of energy between the Einstein and Møller prescription within the region [Formula: see text], in which is the region between outer horizon [Formula: see text] and inner horizon [Formula: see text], for the modified GHS solution, KLOPP solution and CLH solution. The formula [Formula: see text]TS is obeyed for the mGHS solution and the KLOPP solution, but not for the CLH solution. Also, we suggest a RN-like stringy dyonic black hole solution, which comes from the KLOPP solution under a dual transformation, and its thermodynamical properties are the same as the KLOPP solution.

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Reissner–Nordstrom metric in unimodular theory of gravity

International Journal of Modern Physics D ◽

10.1142/s0218271817500821 ◽

2017 ◽

Vol 26 (08) ◽

pp. 1750082 ◽

Cited By ~ 4

Author(s):

Pankaj Chaturvedi ◽

Naveen K. Singh ◽

Dharm Veer Singh

Keyword(s):

Black Hole ◽

Maxwell Equations ◽

Black Hole Solution ◽

Magnetic Charge ◽

Einstein Field Equation ◽

Einstein Gravity ◽

Thermodynamical Properties ◽

Electromagnetic Field Strength ◽

Strength Tensor ◽

Gravitational Background

We study the modified Reissner–Nordstrom (RN) metric in the unimodular gravity. So far the spherical symmetric Einstein field equation in unimodular gravity has been studied in the absence of any source. We consider static electric and magnetic charge as source. We solve for Maxwell equations in unimodular gravitational background. We show that in unimodular gravity, the electromagnetic field strength tensor is modified. We also show that the solution in unimodular gravity differs from the usual RN metric in Einstein gravity with some corrections. We further study the thermodynamical properties of the RN black hole solution in this theory.

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Three-dimensional slowly rotating black hole in Einstein-power-Maxwell theory

International Journal of Modern Physics D ◽

10.1142/s0218271820501114 ◽

2020 ◽

pp. 2050111

Author(s):

M. B. Tataryn ◽

M. M. Stetsko

Keyword(s):

Magnetic Field ◽

Black Hole ◽

Black Hole Solution ◽

Three Dimensional ◽

Integral Solution ◽

Static Case ◽

Maxwell Theory ◽

Rotating Black Hole ◽

Metric Function ◽

Small Rotation

A three-dimensional slowly rotating black hole solution in the presence of negative cosmological constant in the Einstein-power-Maxwell theory is studied. It is shown that in the small rotation limit, the electric field, diagonal metric function and thermodynamic properties are the same as for static case, whereas the small rotation gives in addition a nondiagonal metric function and magnetic field which are also small. For these functions cased by rotation of black hole, exact integral solution and analytic asymptotic solution were obtained.

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A Topologically Charged Rotating Black Hole in the Brane

Advances in High Energy Physics ◽

10.1155/2013/727294 ◽

2013 ◽

Vol 2013 ◽

pp. 1-6 ◽

Cited By ~ 1

Author(s):

Alexis Larrañaga ◽

Claudia Grisales ◽

Manuel Londoño

Keyword(s):

Black Hole ◽

Gauge Field ◽

Hawking Radiation ◽

Weyl Tensor ◽

Black Hole Solution ◽

Zero Temperature ◽

Rotating Black Hole ◽

Minimal Mass

We have obtained a rotating black hole solution in the braneworld scenario by applying the Newman-Janis algorithm. The new solution carries two types of charge, one arising from the bulk Weyl tensor and one from the gauge field trapped on the brane. In order to obtain this result, we used a modified version of the algorithm in which the involved complexification is the key point. The analysis of the horizon structure of the new metric shows similarities to the Kerr-Newman solution. In particular, there is a minimal mass to which the black hole can decay through the Hawking radiation. From the thermodynamical analysis, the possibility of a degenerate horizon gives a temperature that, instead of a divergent behaviour at short scales, admits both a minimum and a maximum before cooling down towards a zero temperature remnant configuration.

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Cosmological isotropic matter–energy generalizations of Schwarzschild and Kerr metrics

International Journal of Modern Physics D ◽

10.1142/s0218271816500887 ◽

2016 ◽

Vol 25 (10) ◽

pp. 1650088

Author(s):

Metin Arik ◽

Yorgo Senikoglu

Keyword(s):

Black Hole ◽

Dark Energy ◽

Black Hole Solution ◽

State Parameter ◽

Time Dependent ◽

Schwarzschild Black Hole ◽

Field Equations ◽

Rotating Black Hole ◽

Special Solutions ◽

Matter Energy

We present a time-dependent isotropic fluid solution around a Schwarzschild black hole. We offer the solutions and discuss the effects on the field equations and the horizon. We derive the energy density, pressure and the equation of state parameter. In the second part, we generalize the rotating black hole solution to an expanding universe. We derive from the proposed metric the special solutions of the field equations for the dust approximation and the dark energy solution. We show that the presence of a rotating black hole does not modify the scale factor [Formula: see text] law for dust, nor [Formula: see text] and [Formula: see text] for dark energy.

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Quantum-Gravitational Trans-Planckian Energy of a Time-Dependent Black Hole

10.20944/preprints201909.0132.v1 ◽

2019 ◽

Author(s):

A. J. Nurmagambetov ◽

I. Y. Park

Keyword(s):

Black Hole ◽

Event Horizon ◽

Black Hole Solution ◽

Energy Analysis ◽

Scaling Behavior ◽

Time Dependent ◽

Higgs Potential ◽

Rotating Black Hole ◽

Basic Features

We continue our recent endeavor in which a time-dependent black hole solution of a one-loop quantum-corrected Einstein-scalar system was obtained and its near-horizon behavior was analyzed. The energy analysis led to a trans-Planckian scaling behavior near the event horizon. In the present work the analysis is extended to a rotating black hole solution of an Einstein-Maxwell-scalar system with a Higgs potential. Although the analysis becomes much more complex compared to that of the previous, we observe the same basic features, including the quantum-gravitational trans-Planckian energy near the horizon.

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$O(\bar{d}, \bar{d})$ TRANSFORMATIONS AND 3D BLACK HOLE

Modern Physics Letters A ◽

10.1142/s0217732393001756 ◽

1993 ◽

Vol 08 (22) ◽

pp. 2045-2052 ◽

Cited By ~ 26

Author(s):

ABBAS ALI ◽

ALOK KUMAR

Keyword(s):

General Relativity ◽

Black Hole ◽

String Theory ◽

Black Hole Solution ◽

Three Dimensional ◽

Black String ◽

Rotating Black Hole ◽

3D Black Hole

We generalize the results of a previous paper by one of the authors to show a relationship among a class of string solutions through [Formula: see text] transformations. The results are applied to a rotating black hole solution of three-dimensional general relativity discussed recently. We extend the black hole solution to string theory and show its connection with the three-dimensional black string with nonzero momentum through an [Formula: see text] transformation of the above type.

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