Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole

Li, Guoping; He, Kun; Chen, Bingbing

doi:10.1140/epjp/s13360-020-00953-0

Cited by 5 publications

(1 citation statement)

References 76 publications

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“…Although a lot of work has been done, no consistent conclusion has been reached on a concrete basis, see for example, refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. In particular, while studying the viability of the laws of thermodynamics and/or to ensure existence of the stable horizon via particle absorption, two assumptions associated with the energy of the particle have been found in the literature.…”

Section: Introductionmentioning

confidence: 99%

Revisiting the second law and weak cosmic censorship conjecture in high-dimensional charged-AdS black hole: an additional assumption

Ali

Moumni

Khalloufi

et al. 2023

J. High Energ. Phys.

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The verification of the second law of black hole mechanics and the WCCC in the context of enthalpy as mass of the black hole and its related thermodynamic properties has not been tested through a vast number of literature in the recent past. Such studies are of great physical importance as they provide us with a large number of information regarding the thermodynamics and the dynamics of AdS black hole systems. We invest the prior limited surveys of such analysis to investigate the WCCC for the D- dimensional asymptotically AdS-charged black holes characterized by its mass (M), electric charge (Q), and AdS radius (l) under the absorption of scalar particles of charge q. We examine the WCCC by analyzing the energy-momentum condition of the electrically charged particles as absorbed by the black holes. We prove that the conjecture is well verified irrespective of whether the initial black hole configurations are extremal or non-extremal by changing its charge, the AdS radius, and their variations. We show that the first law and the WCCC are valid for all spacetime dimensions (D) independent of the choice of the parameters characterizing the black holes. But to verify the second law in the extremal and non- extremal configurations one has to be very cautious as it gets strongly affected by the choices of the values of the black hole parameters and their variations. In other words, we use charged particle dynamics as described by the Hamilton-Jacobi equation to obtain the energy-momentum relation as the charged particle dropped into the higher dimensional charged AdS black hole and verify the thermodynamic laws when the scalar charged particle gets absorbed by the black holes and correspondingly the black hole neutralization in different manners. Additionally, we further probe the validity of WCCC in such a black hole background. In the context of the extended phase space, taking the grand canonical potential into account allow us to obtain the missing information about the variation of the cosmological constant necessary to construct the extended phase space, namely the notion of the black hole pressure, and which is absent in the previous literature so far.

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Section: Introductionmentioning

confidence: 99%

Revisiting the second law and weak cosmic censorship conjecture in high-dimensional charged-AdS black hole: an additional assumption

Ali

Moumni

Khalloufi

et al. 2023

J. High Energ. Phys.

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Constraining study of Rastall parameter on charged anisotropic compact star model

et al. 2023

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The current study discusses the charge anisotropic stellar structures in Rastall theory. For this study, the Karmarkar condition is considered to develop the embedded solutions of compact stars. To complete this analysis, the spherically symmetric spacetime is taken and solve the resulting Rastall field equations by constraining different values of the Rastall parameter, i.e., $\xi=-0.03$, $\xi=-0.06$, and $\xi=-0.09$ into account. Further, we choose a well-known interesting form of $g_{rr}$ metric component as $e^{\lambda(r)}=1+\frac{cr^2\left(1+ar^2\right)^n}{(1+br^2)^2}$. We explore the properties of compact star model like Vela X-1, under the effect of different positive values of $n$, i.e., $1.8\leq n <7$, expect $n\neq 2,4,6$. It is noted that some results are not satisfied for $n\geq6.6$. We show that the parameters $n$ from the $g_{rr}$ metric and Rastall parameter $\xi$ play an important role in determining the thermodynamical behavior and stability of our model. The detailed analysis reinforced by their conforming plots of the outlines of the pressure components, energy density, charged density, and stability features including adiabatic index has been provided. It is important to mention here that our obtained solutions are physically viable and are well stable.

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General mass formulas for charged Kerr-AdS black holes

Gao,

Di,

Gao

2024

Phys. Scr.

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It is well-known that the mass of a non-asymptotically ﬂat spacetime cannot be uniquely deﬁned. Some mass formulas for the Kerr-AdS black hole have been found and used in studying black hole thermodynamics. However, the derivations usually need a background subtraction to eliminate the divergence at inﬁnity. It is also unknown whether the mass depends on the choice of coordinates. In this paper, we provide a more straightforward derivation for the mass formula, only demanding that the ﬁrst law of black hole thermodynamics and Smarr formula are satisﬁed. We ﬁrst make use of the Iyer-Wald formalism to derive a ﬁrst law which avoids the divergence at inﬁnity. Then we apply this formula to charged Kerr-AdS black hole expressed in the coordinates rotating at inﬁnity. However, the ﬁrst law associated with the timelike Killing vector ﬁeld @@t is not integrable. Then, by making use of the gauge freedom of t, we ﬁnd a favorite parameter t′ which just makes the mass integrable. Applying the scaling argument, we show that the mass satisﬁes the Smarr formula and takes the form M⁄Ξ3⁄2. Moreover, applying the conformal method with @@t′ , we obtain the same mass. By applying the ﬁrst law to the coordinates which is not rotating at inﬁnity, we ﬁnd a preferred time T that makes the ﬁrst law integrable and the mass is just the familiar mass M⁄Ξ2 in the literature. This mass is also conﬁrmed by the conformal method. We ﬁnd that the two mass formulas correspond to diﬀerent families of observers and the preferred Killing times. So our work clariﬁes the ambiguities of mass in Kerr-AdS spacetimes.

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Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole

Cited by 5 publications

References 76 publications

Revisiting the second law and weak cosmic censorship conjecture in high-dimensional charged-AdS black hole: an additional assumption

Revisiting the second law and weak cosmic censorship conjecture in high-dimensional charged-AdS black hole: an additional assumption

Constraining study of Rastall parameter on charged anisotropic compact star model

General mass formulas for charged Kerr-AdS black holes

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