Higher order corrected thermodynamics and statistics of Kerr–Newman–Gödel black hole

The normal-mode frequencies of a Reissner–Nordström black hole are determined from a phase-amplitude formula, using numerical integration in the complex coordinate plane. The results obtained are numerically very accurate, extending previous higher-order WKB results of Kokkotas and Schutz as well as the continued fraction results of Leaver. The change in the characteristic frequency of each mode as the charge of the black hole increases is also discussed.

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Shadow of a disformal Kerr black hole in quadratic degenerate higher-order scalar–tensor theories

The European Physical Journal C ◽

10.1140/epjc/s10052-020-08744-8 ◽

2020 ◽

Vol 80 (12) ◽

Author(s):

Fen Long ◽

Songbai Chen ◽

Mingzhi Wang ◽

Jiliang Jing

Keyword(s):

Black Hole ◽

Deformation Parameter ◽

Kerr Black Hole ◽

Arbitrary Spin ◽

Higher Order ◽

Fractal Structures ◽

Extreme Black Hole ◽

Spin Parameter ◽

Result Show ◽

Self Similar

AbstractWe have studied the shadow of a disformal Kerr black hole with an extra deformation parameter, which belongs to non-stealth rotating solutions in quadratic degenerate higher-order scalar–tensor (DHOST) theory. Our result show that the size of the shadow increases with the deformation parameter for the black hole with arbitrary spin parameter. However, the effect of the deformation parameter on the shadow shape depends heavily on the spin parameter of black hole and the sign of the deformation parameter. The change of the shadow shape becomes more distinct for the black hole with the more quickly rotation and the more negative deformation parameter. Especially, for the near-extreme black hole with negative deformation parameter, there exist a “pedicel”-like structure appeared in the shadow, which increases with the absolute value of deformation parameter. The eyebrow-like shadow and the self-similar fractal structures also appear in the shadow for the disformal Kerr black hole in DHOST theory. These features in the black hole shadow originating from the scalar field could help us to understand the non-stealth disformal Kerr black hole and quadratic DHOST theory.

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The effect of higher-order extended uncertainty principle on the black hole thermodynamics

EPL (Europhysics Letters) ◽

10.1209/0295-5075/134/50007 ◽

2021 ◽

Vol 134 (5) ◽

pp. 50007

Author(s):

B. Hamil ◽

B. C. Lütfüoğlu

Keyword(s):

Black Hole ◽

Uncertainty Principle ◽

Higher Order ◽

Black Hole Thermodynamics ◽

Extended Uncertainty

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Higher Order Quantum Corrections of Rotating BTZ Black Hole

International Journal of Theoretical Physics ◽

10.1007/s10773-017-3612-3 ◽

2017 ◽

Vol 57 (3) ◽

pp. 780-791 ◽

Cited By ~ 5

Author(s):

B. Pourhassan ◽

K. Kokabi

Keyword(s):

Black Hole ◽

Higher Order ◽

Quantum Corrections ◽

Btz Black Hole

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Thermodynamics of black holes with higher order corrected entropy

Canadian Journal of Physics ◽

10.1139/cjp-2018-0091 ◽

2019 ◽

Vol 97 (7) ◽

pp. 742-751 ◽

Cited By ~ 2

Author(s):

M. Umair Shahzad ◽

Abdul Jawad

Keyword(s):

Black Holes ◽

Black Hole ◽

Higher Order ◽

De Sitter ◽

Free Energies ◽

Corrected Entropy ◽

The Stability ◽

Canonical Ensembles ◽

Thermodynamical Behavior ◽

Correction Terms

For analyzing the thermodynamical behavior of two well-known black holes, such as Reissner–Nordström – anti-de Sitter (RN-AdS) black hole with global monopole and f(R) black hole, we consider the higher order logarithmic corrected entropy. We develop various thermodynamical properties, such as entropy, specific heat, pressure, and Gibbs and Helmhotz free energies for both black holes in the presence of corrected entropy. A versatile study on the stability of black holes is made by using various frameworks, such as the ratio of heat capacities (γ), grand canonical and canonical ensembles, and phase transition in view of higher order logarithmic corrected entropy. It is observed that both black holes exhibit more stability (locally as well as globally) for growing values of cosmological constant and higher order correction terms.

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