Black Strings in Asymptotically Safe Gravity

Nilton, M.; Alencar, G.

doi:10.48550/arxiv.2211.02581

Cited by 1 publication

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“…where C VL = απr 2 HL is the value of the heat capacity of the usual black string [33]. It can be seen that it follows exactly the same pattern as the temperature, that is, we have the factor 1 − a 2 /r 2 HL correcting the usual value of the heat capacity; therefore, we can recover the usual result using a = 0, as expected.…”

Section: Regular Black String Thermodynamicssupporting

confidence: 71%

“…The sign of C V is important to evaluate the thermodynamic stability of the black string, as if C V > 0 this implies that the black hole is thermodynamically stable, and if C V < 0 we have an unstable solution [31]. It can be seen in Equation (42) (and in Figure 4) that C V is always positive, as is C VL [33], indicating that this solution is always stable, with no possibility of evaporation, for example. Finally, let us evaluate the Helmholtz free energy, provided by F = M − T H S [34].…”

Section: Regular Black String Thermodynamicsmentioning

confidence: 99%

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Black String Bounce to Traversable Wormhole

2023

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In this work, a regular black string solution is presented from the method used by Simpson–Visser to regularize the Schwarzschild solution. As in the Simpson–Visser work, in this new black string solution, it is possible to represent both a regular black hole and a wormhole simply by changing the value of a parameter “a” used in its metric. Tensors and curvature invariants are analyzed to verify the regularity of the solution as well as the energy conditions of the system. It is found that the null energy condition is always violated for the entire space. An additional analysis of the thermodynamic properties of the regular black string is carried out, in which the modifications generated about the original solution of the black string are evaluated, specifically, the Hawking temperature, entropy, its thermal capacity, and the Helmholtz free energy. Finally, we investigate the possible stable or unstable circular orbits for photons and massive particles. The results are compared with those for the non-regular black string, seeking to make a parallel with the Simpson–Visser work.

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Section: Regular Black String Thermodynamicssupporting

confidence: 71%

Section: Regular Black String Thermodynamicsmentioning

confidence: 99%