A Proposal of a Regular Black Hole Satisfying the Weak Energy Condition

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.

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Regular black hole metrics and the weak energy condition

Physics Letters B ◽

10.1016/j.physletb.2014.01.024 ◽

2014 ◽

Vol 730 ◽

pp. 14-17 ◽

Cited By ~ 68

Author(s):

Leonardo Balart ◽

Elias C. Vagenas

Keyword(s):

Black Hole ◽

Energy Condition ◽

Weak Energy Condition ◽

Regular Black Hole

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On the Energy of a Non-Singular Black Hole Solution Satisfying the Weak Energy Condition

Universe ◽

10.3390/universe6100169 ◽

2020 ◽

Vol 6 (10) ◽

pp. 169

Author(s):

Irina Radinschi ◽

Theophanes Grammenos ◽

Farook Rahaman ◽

Marius-Mihai Cazacu ◽

Andromahi Spanou ◽

...

Keyword(s):

General Relativity ◽

Black Hole ◽

Energy Distribution ◽

Black Hole Solution ◽

Energy Condition ◽

Weak Energy Condition ◽

Radial Coordinate ◽

Spherically Symmetric ◽

Comparison Of The Results ◽

Two Parameters

The energy-momentum localization for a new four-dimensional and spherically symmetric, charged black hole solution that through a coupling of general relativity with non-linear electrodynamics is everywhere non-singular while it satisfies the weak energy condition, is investigated. The Einstein and Møller energy-momentum complexes have been employed in order to calculate the energy distribution and the momenta for the aforesaid solution. It is found that the energy distribution depends explicitly on the mass and the charge of the black hole, on two parameters arising from the space-time geometry considered, and on the radial coordinate. Further, in both prescriptions all the momenta vanish. In addition, a comparison of the results obtained by the two energy-momentum complexes is made, whereby some limiting and particular cases are pointed out.

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GRAVITATIONAL COLLAPSE OF A SELF-INTERACTING SCALAR FIELD

Modern Physics Letters A ◽

10.1142/s0217732307020701 ◽

2007 ◽

Vol 22 (01) ◽

pp. 65-74 ◽

Cited By ~ 12

Author(s):

RITUPARNO GOSWAMI ◽

PANKAJ S. JOSHI

Keyword(s):

Black Hole ◽

Scalar Field ◽

Gravitational Collapse ◽

Energy Condition ◽

Dynamical Evolution ◽

Naked Singularity ◽

Cosmic Censorship ◽

Weak Energy Condition ◽

Scalar Field Models ◽

Cosmic Censorship Conjecture

We construct and study here a class of collapsing scalar field models with a nonzero potential. The weak energy condition is satisfied by the collapsing configuration and it is shown that the end state of collapse could be either a black hole or a naked singularity. It is seen that physically it is the rate of collapse that governs these outcomes of the dynamical evolution. The implications for the cosmic censorship conjecture are discussed.

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Regular black hole interior spacetime supported by three-form field

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09080-1 ◽

2021 ◽

Vol 81 (4) ◽

Author(s):

Mariam Bouhmadi-López ◽

Che-Yu Chen ◽

Xiao Yan Chew ◽

Yen Chin Ong ◽

Dong-han Yeom

Keyword(s):

Black Hole ◽

Energy Condition ◽

Null Energy Condition ◽

De Sitter ◽

Regular Black Hole ◽

Black Hole Spacetime ◽

Form Field ◽

Black Hole Interior ◽

Metric Function ◽

Geodesically Complete

AbstractIn this paper, we show that a minimally coupled 3-form endowed with a proper potential can support a regular black hole interior. By choosing an appropriate form for the metric function representing the radius of the 2-sphere, we solve for the 3-form field and its potential. Using the obtained solution, we construct an interior black hole spacetime which is everywhere regular. The singularity is replaced with a Nariai-type spacetime, whose topology is $$\text {dS}_2 \times \text {S}^2$$ dS 2 × S 2 , in which the radius of the 2-sphere is constant. So long as the interior continues to expand indefinitely, the geometry becomes essentially compactified. The 2-dimensional de Sitter geometry appears despite the negative potential of the 3-form field. Such a dynamical compactification could shed some light on the origin of de Sitter geometry of our Universe, exacerbated by the Swampland conjecture. In addition, we show that the spacetime is geodesically complete. The geometry is singularity-free due to the violation of the null energy condition.

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Regular charged black holes, quasilocal energy and energy conditions

International Journal of Modern Physics D ◽

10.1142/s0218271816500723 ◽

2016 ◽

Vol 25 (06) ◽

pp. 1650072 ◽

Cited By ~ 1

Author(s):

Leonardo Balart ◽

Francisco Peña

Keyword(s):

Black Hole ◽

Energy Condition ◽

Nonlinear Electrodynamics ◽

Energy Conditions ◽

Field Energy ◽

Regular Black Hole ◽

Charged Black Holes ◽

Relationship Of ◽

The Relationship ◽

Black Hole Solutions

We revisit the relationship of inequality between the gravitational field energy and the Komar charge, both quantities evaluated at the event horizon, for static and spherically symmetric regular black hole solutions obtained with nonlinear electrodynamics. We found a way to characterize these regular black hole solutions by the energy conditions that they satisfy. In particular, we show the relation between the direction of the inequality and the energy condition that satisfies the regular black hole solutions.

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