scholarly journals Neutral regular black hole solution in generalized Rastall gravity

2019 ◽  
Vol 43 (8) ◽  
pp. 083106 ◽  
Author(s):  
Kai Lin ◽  
Wei-Liang Qian
2018 ◽  
Vol 27 (03) ◽  
pp. 1850032 ◽  
Author(s):  
Ernesto Contreras ◽  
Ángel Rincón ◽  
Benjamin Koch ◽  
Pedro Bargueño

In this work, we present a regular black hole solution, in the context of scale-dependent General Relativity, satisfying the weak energy condition. The source of this solution is an anisotropic effective energy–momentum tensor which appears when the scale dependence of the theory is turned-on. In this sense, the solution can be considered as a semiclassical extension of the Schwarzschild one.


2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
I. Radinschi ◽  
F. Rahaman ◽  
Th. Grammenos ◽  
A. Spanou ◽  
Sayeedul Islam

A study about the energy momentum of a new four-dimensional spherically symmetric, static and charged, regular black hole solution developed in the context of general relativity coupled to nonlinear electrodynamics is presented. Asymptotically, this new black hole solution behaves as the Reissner-Nordström solution only for the particular valueμ=4, whereμis a positive integer parameter appearing in the mass function of the solution. The calculations are performed by use of the Einstein, Landau-Lifshitz, Weinberg, and Møller energy momentum complexes. In all the aforementioned prescriptions, the expressions for the energy of the gravitating system considered depend on the massMof the black hole, its chargeq, a positive integerα, and the radial coordinater. In all these pseudotensorial prescriptions, the momenta are found to vanish, while the Landau-Lifshitz and Weinberg prescriptions give the same result for the energy distribution. In addition, the limiting behavior of the energy for the casesr→∞,r→0, andq=0is studied. The special caseμ=4andα=3is also examined. We conclude that the Einstein and Møller energy momentum complexes can be considered as the most reliable tools for the study of the energy momentum localization of a gravitating system.


2005 ◽  
Vol 37 (4) ◽  
pp. 635-641 ◽  
Author(s):  
Eloy Ayón-Beato ◽  
Alberto García

2014 ◽  
Vol 89 (10) ◽  
Author(s):  
Bobir Toshmatov ◽  
Bobomurat Ahmedov ◽  
Ahmadjon Abdujabbarov ◽  
Zdeněk Stuchlík

Author(s):  
R P Singh ◽  
B K Singh ◽  
B R K Gupta ◽  
S Sachan

The Bardeen black hole solution is the first spherically symmetric regular black hole based on the Sakharov and Gliner proposal which is the modification of the Schwarzschild black hole. We present the Bardeen black hole solution in presence of the dRGT massive gravity, which is regular everywhere in the presence of a nonlinear source. The obtained solution interpolates with the Bardeen black hole in the absence of massive gravity parameter and the Schwarzschild black hole in the limit of magnetic charge g=0. We investigate the thermodynamical quantities viz. mass (M), temperature (T), entropy (S) and free energy (F) in terms of horizon radius for both canonical and grand canonical ensembles. We check the local and global stability of the obtained solution by studying the heat capacity and free energy. The heat capacity flips the sign at r = r<sub>c</sub>. The black hole is thermodynamically stable with positive heat capacity C>0 for i.e., globally preferred with negative free energy F < 0. In addition, we also study the phase structure of the obtained solution in both ensembles.


2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Muneto Nitta ◽  
Kunihito Uzawa

AbstractWe construct a regular black hole solution on the orbifold $${\mathbb C}^{n}/{\mathbb Z}_{n}$$ C n / Z n in the ($$2n+1$$ 2 n + 1 )-dimensional Einstein–Maxwell theory. The event horizon is $$S^{2n-1}/{\mathbb Z}_{n}$$ S 2 n - 1 / Z n .


2017 ◽  
Vol 26 (08) ◽  
pp. 1750075 ◽  
Author(s):  
S. I. Kruglov

An arctan-electrodynamics coupled with the gravitational field is investigated. We obtain the regular black hole solution that at [Formula: see text] gives corrections to the Reissner–Nordström solution. The corrections to Coulomb’s law at [Formula: see text] are found. We evaluate the mass of the black hole that is a function of the dimensional parameter [Formula: see text] introduced in the model. The magnetically charged black hole was investigated and we have obtained the magnetic mass of the black hole and the metric function at [Formula: see text]. The regular black hole solution is obtained at [Formula: see text] with the de Sitter core. We show that there is no singularity of the Ricci scalar for electrically and magnetically charged black holes. Restrictions on the electric and magnetic fields are found that follow from the requirement of the absence of superluminal sound speed and the requirement of a classical stability.


2011 ◽  
Vol 89 (10) ◽  
pp. 1027-1033 ◽  
Author(s):  
M. Sharif ◽  
Wajiha Javed

In this paper, we examine the effects of space noncommutativity on the thermodynamics of a Bardeen charged regular black hole. For a suitable choice of sets of parameters, the behavior of the singularity, horizon, mass function, black hole mass, temperature, entropy and its differential, area, and energy distribution of the Bardeen solution have been discussed graphically for both noncommutative and commutative spaces. Graphs show that the commutative coordinates extrapolate all such quantities (except temperature) for a given set of parameters. It is interesting to mention here that these sets of parameters provide the singularity (essential for rh > 0) and horizon (f(rh) = 0 for rh > 0) for the black hole solution in noncommutative space, while for commutative space no such quantity exists.


2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Irina Radinschi ◽  
Farook Rahaman ◽  
Theophanes Grammenos ◽  
Sayeedul Islam

A study about the energy and momentum distributions of a new charged regular black hole solution with a nonlinear electrodynamics source is presented. The energy and momentum are calculated using the Einstein and Møller energy-momentum complexes. The results show that in both pseudotensorial prescriptions the expressions for the energy of the gravitational background depend on the massMand the chargeqof the black hole, an additional factorβcoming from the spacetime metric considered, and the radial coordinater, while in both prescriptions all the momenta vanish. Further, it is pointed out that in some limiting and particular cases the two complexes yield the same expression for the energy distribution as that obtained in the relevant literature for the Schwarzschild black hole solution.


1999 ◽  
Vol 464 (1-2) ◽  
pp. 25-29 ◽  
Author(s):  
Eloy Ayón-Beato ◽  
Alberto Garcı́a

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