Area Product and Mass Formula for Kerr-Newman Black Hole in Quintessence

Zakria, Ayesha; Afzal, Asma

doi:10.48550/arxiv.1808.04361

Cited by 3 publications

(6 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…THERMODYNAMICS OF THE BH SOLUTIONS (30) AND (34) In this section, we will investigate the thermodynamical properties of the BH solutions ( 30) and (34) 3 . The temperature of a BH is defined as [65][66][67][68][69][70]…”

Section: Stability Of the Bhs Using Geodesic Deviationmentioning

confidence: 99%

See 1 more Smart Citation

Spherically symmetric charged black holes in f(R) gravitational theories

Nashed

2018

Eur. Phys. J. Plus

View full text Add to dashboard Cite

Section: Stability Of the Bhs Using Geodesic Deviationmentioning

confidence: 99%

“…When F 0 = 1, we obtain (A)dS Reissner-Nordström BH of GR. To derive the horizons of the BH, (46), we set U (r) = 0 [70], whose solutions give two real positive roots that have the form…”

Section: A Thermodynamics Of the Bh (46) That Has Asymptotic Flatnessmentioning

confidence: 99%

Spherically symmetric charged black holes in f(R) gravitational theories

Nashed

2018

Eur. Phys. J. Plus

View full text Add to dashboard Cite

“…THERMODYNAMICS OF THE BHS ( 29) AND (31) In this section we will study the thermodynamical properties of the BHs ( 29) and ( 31) 3 . The temperature of a BH is defined as [82][83][84][85][86][87]…”

Section: B Stability Of the Bhs Using Geodesic Deviationmentioning

confidence: 99%

“…In this subsection, we study the thermodynamics of the BH (29) which is characterized by the mass M and the constant a 1 and when it vanishing we get a Schwarzschild BH 4 of GR. To derive the horizons of the BH, (29), we set µ(r) = 0 [87] whose solutions give four lengthy real positive roots. The metric potentials of the BH (29) are plotted in Fig.…”

Section: B Stability Of the Bhs Using Geodesic Deviationmentioning

confidence: 99%

See 1 more Smart Citation

Analytic charged BHs in $f(\mathcal{R})$ gravity

Nashed,

Nojiri

2020

Preprint

View full text Add to dashboard Cite

In this article, we seek exact charged spherically symmetric black holes (BHs) with considering f (R) gravitational theory. These BHs are characterized by convolution and error functions. Those two functions depend on a constant of integration which is responsible to make such a solution deviate from the Einstein general relativity (GR). The error function which constitutes the charge potential of the Maxwell field depends on the constant of integration and when this constant is vanishing we can not reproduce the Reissner-Nordström BH in the lower order of f (R). This means that we can not reproduce Reissner-Nordström BH in lower-order-curvature theory, i.e., in GR limit f (R) = R, we can not get the well known charged BH. We study the physical properties of these BHs and show that it is asymptotically approached as a flat spacetime or approach AdS/dS spacetime. Also, we calculate the invariants of the BHS and show that the singularities are milder than those of BH's of GR. Additionally, we derive the stability condition through the use of geodesic deviation. Moreover, we study the thermodynamics of our BH and investigate the impact of the higher-order-curvature theory. Finally, we show that all the BHs are stable and have radial speed equal to one through the use of odd-type mode.

show abstract

Black Holes with Electric and Magnetic Charges in F(R)$F(R)$ Gravity

Nashed

Nojiri

2022

Fortschritte der Physik

View full text Add to dashboard Cite

We construct spherically symmetric and static solutions in Ffalse(Rfalse)$F(R)$ gravity coupled with electromagnetic fields. The solutions include new types of black holes with electric and magnetic charges. We show that the higher‐derivative terms make the curvature singularity much softer than that in the charged black holes in Einstein's general relativity. We calculate some thermodynamical quantities of the obtained black holes like entropy, Hawking radiation, and quasi‐local energy and we confirm that the black hole solutions satisfy the first law of thermodynamics. Finally, we study the stability analysis using the odd‐type mode and show that there are stable black hole solutions and the radial speed of the parity‐odd mode is unit, that is, the speed of light.

show abstract

Area Product and Mass Formula for Kerr-Newman Black Hole in Quintessence

Cited by 3 publications

References 15 publications

Spherically symmetric charged black holes in f(R) gravitational theories

Spherically symmetric charged black holes in f(R) gravitational theories

Analytic charged BHs in $f(\mathcal{R})$ gravity

Black Holes with Electric and Magnetic Charges in F(R)$F(R)$ Gravity

Contact Info

Product

Resources

About