Entropy Variation of a Charged (2 + 1)-Dimensional BTZ Black Hole Under Hawking Radiation

Ali, Shad; Wen, Peng; Liu, Wenbiao

doi:10.1007/s10773-020-04400-9

Cited by 5 publications

(5 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [17,18], the interior volume of BTZ black hole is found to increase with v. It signifies the possible extension of our work to (2+1)-dimensional BTZ black hole solutions. So, after obtaining the interior volume and quantum modes entropy, an evolution relation is calculated between the two types of entropy by using the two assumptions.…”

Section: Introductionsupporting

confidence: 56%

mentioning

confidence: 97%

“…The maximal volume given in equation (1) is termed as CR volume that increases with Eddington time. This work is also extended to other types of black holes in [10][11][12][13][14][15][16][17][18].Based on the CR's volume, Baocheng Zhang [19] considered interior quantum modes of scalar field and investigated the entropy inside the Schwarzschild black hole as RECEIVED…”

mentioning

confidence: 99%

See 2 more Smart Citations

Entropy variation of rotating BTZ black hole under Hawking radiation

Ali¹,

Kamran²,

Khan³

2022

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

An axially symmetric rotating Banados-Teitelboim-Zanelli (BTZ) black hole is considered for comprehending its interior information. The largest space-like hyper-surface is chosen to estimate its maximal interior volume as a time-dependent quantity. Similarly, the quantum mode entropy of the scalar field associated with this volume is found to increase with Eddington time. An evolution relation between the variation of quantum mode entropy and Bekenstein-Hawking entropy is obtained for an infinitesimal time interval. On comparing to higher-dimensional black holes, the characteristic feature of this evolution relation is its divergent character.

show abstract

Section: Introductionsupporting

confidence: 56%

mentioning

confidence: 97%

mentioning

confidence: 99%

See 1 more Smart Citation

Entropy variation of rotating BTZ black hole under Hawking radiation

Ali¹,

Kamran²,

Khan³

2022

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

show abstract

“…This case will be discussed in next section. According to Refs [30,31], the interior entropy of massless scalar field Φ in the interior volume of BTZ black hole bound by the maximal hypersurface r = r v can be calculated by using WKB approximation. Where the massless scalar field is Φ = exp[−iET ]exp[iI(λ, φ)].…”

Section: ) Belowmentioning

confidence: 99%

“…This work showed that the above stated discussion could be extended to (2 + 1)− dimensional BTZ black holes. So, in our recent work [31], we investigate the interior volume and quantum mode entropy of charged BTZ black hole also increases with advance time. Finally, the relation between the interior and exterior entropy is calculated as linear function of black hole mass.…”

Section: Introductionmentioning

confidence: 99%

Information evolution in the interior of an axially symmetric BTZ black hole

Ali,

Kamran,

Khan

2020

Preprint

Self Cite

View full text Add to dashboard Cite

In this paper, we consider an axially symmetric (2 + 1)−dimensional rotating Banados-Teitelboim-Zanelli (BTZ) black hole to investigate its interior information. First, we choose a largest space-like hyper-surface at r v = 0.45 and calculate the maximal interior volume bound by it. We found the interior volume to increase with advance time v. Similarly, the scalar quantum mode entropy is also found to increase with advance time. Next, considering two important assumptions, an evolution relation is obtained between the variation of scalar quantum mode entropy and Bekenstein Hawking entropy for an infinitesimal interval of time. In contrast to the evolution relation of higher dimensional black holes, the characteristic feature of this relation is its increase with extremely large increase in black hole mass. Moreover, this work extends the notion of black hole evaporation idea to lower space-time dimensions.

show abstract

The CR volume for black holes and the corresponding entropy variation: A review

Ali,

Liu

2024

New Astronomy Reviews

View full text Add to dashboard Cite

Entropy Variation of a Charged (2 + 1)-Dimensional BTZ Black Hole Under Hawking Radiation

Cited by 5 publications

References 19 publications

Entropy variation of rotating BTZ black hole under Hawking radiation

Entropy variation of rotating BTZ black hole under Hawking radiation

Information evolution in the interior of an axially symmetric BTZ black hole

The CR volume for black holes and the corresponding entropy variation: A review

Contact Info

Product

Resources

About