Generalized Uncertainty Principle and Black Hole Entropy of Higher-Dimensional de Sitter Spacetime

2007 ◽  
Vol 48 (3) ◽  
pp. 465-468 ◽  
Author(s):  
Zhao Hai-Xia ◽  
Li Huai-Fan ◽  
Hu Shuang-Qi ◽  
Zhao Ren
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Higher Dimensional

CONFORMAL KILLING-YANO TENSOR AND KERR-NUT-DE SITTER SPACETIME UNIQUENESS

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2169-2171 ◽  
Author(s):  
YUKINORI YASUI
Keyword(s):  
Black Hole ◽  
Conformal Killing ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Higher Dimensional ◽  
Dimensional Black Hole ◽  
Rank 2 ◽  
Black Hole Solutions

This paper gives a brief review of recent results on higher dimensional black hole solutions. It is shown that the D-dimensional Kerr-NUT-de Sitter spacetime constructed by Chen-Lü-Pope is the only spacetime admitting a rank-2 conformal Killing-Yano tensor with a certain symmetry.

scholarly journals EXTENDED UNCERTAINTY PRINCIPLE AND THE GEOMETRY OF (ANTI)-DE SITTER SPACE

2010 ◽  
Vol 25 (20) ◽  
pp. 1697-1703 ◽  
Author(s):  
S. MIGNEMI
Keyword(s):  
Cosmological Constant ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Heisenberg Uncertainty Principle ◽  
Sitter Spacetime ◽  
Heisenberg Uncertainty ◽  
Sitter Background ◽  
Extended Uncertainty

It has been proposed that on (anti)-de Sitter background, the Heisenberg uncertainty principle should be modified by the introduction of a term proportional to the cosmological constant. We show that this modification of the uncertainty principle can be derived straightforwardly from the geometric properties of (anti)-de Sitter spacetime. We also discuss the connection between the so-called extended generalized uncertainty principle and triply special relativity.

scholarly journals Phase Transition of the Higher Dimensional Charged Gauss-Bonnet Black Hole in de Sitter Spacetime

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Meng-Sen Ma ◽  
Li-Chun Zhang ◽  
Hui-Hua Zhao ◽  
Ren Zhao
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Effective Temperature ◽  
Thermodynamic Quantities ◽  
De Sitter Spacetime ◽  
Response Functions ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Higher Dimensional ◽  
Temperature And Pressure

We study the phase transition of charged Gauss-Bonnet-de Sitter (GB-dS) black hole. For black holes in de Sitter spacetime, there is not only black hole horizon, but also cosmological horizon. The thermodynamic quantities on both horizons satisfy the first law of the black hole thermodynamics, respectively; moreover, there are additional connections between them. Using the effective temperature approach, we obtained the effective thermodynamic quantities of charged GB-dS black hole. According to Ehrenfest classification, we calculate some response functions and plot their figures, from which one can see that the spacetime undergoes a second-order phase transition at the critical point. It is shown that the critical values of effective temperature and pressure decrease with the increase of the value of GB parameterα.

scholarly journals Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Rachel A. Rosen ◽  
Luca Santoni
Keyword(s):  
Black Hole ◽  
Explicit Form ◽  
Equations Of Motion ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Black Hole Background ◽  
Massless Spin ◽  
Higher Dimensional ◽  
Massless Fields

Abstract We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In particular, we show how to obtain the quadratic actions for the propagating modes and recast the resulting equations of motion in a Schrödinger-like form. In the case of partially massless fields in Schwarzschild de Sitter spacetime, we study the isospectrality between modes of different parity. In particular, we prove isospectrality analytically for modes with multipole number L = 1 in four spacetime dimensions, providing the explicit form of the underlying symmetry. We show that isospectrality between partially massless modes of different parity is broken in higher-dimensional Schwarzschild de Sitter spacetimes.

BLACK HOLE ENTROPY FOR ANTI DE SITTER AND DE SITTER DILATONIC SPACETIME USING BRICK WALL METHOD

2007 ◽  
Vol 22 (37) ◽  
pp. 2865-2872 ◽  
Author(s):  
TANWI GHOSH
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Semiclassical Approach ◽  
Sitter Spacetime ◽  
Dilatonic Black Hole ◽  
Finite Result ◽  
Wall Method

The entropy of a scalar field in the background of a dilatonic black hole both in anti de Sitter and de Sitter spacetime has been calculated using brick wall method. The form of divergent contributions to the entropy is in agreement with the previous calculations in the literature. The semiclassical approach used here is straightforward and produces finite result apart from an ambiguity in logarithmic terms.

scholarly journals HIGHER DIMENSIONAL INHOMOGENEOUS DUST COLLAPSE AND COSMIC CENSORSHIP

2002 ◽  
Vol 17 (20) ◽  
pp. 2747-2747
Author(s):  
A. BEESHAM
Keyword(s):  
Black Holes ◽  
Cosmic Censorship ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Naked Singularities ◽  
Singularity Theorems ◽  
Sitter Spacetime ◽  
Higher Dimensional ◽  
Cosmic Censorship Hypothesis ◽  
Strong Curvature

The singularity theorems of general relativity predict that gravitational collapse finally ends up in a spacetime singularity1. The cosmic censorship hypothesis (CCH) states that such a singularity is covered by an event horizon2. Despite much effort, there is no rigorous formulation or proof of the CCH. In view of this, examples that appear to violate the CCH and lead to naked singularities, in which non-spacelike curves can emerge, rather than black holes, are important to shed more light on the issue. We have studied several collapse scenarios which can lead to both situations3. In the case of the Vaidya-de Sitter spacetime4, we have shown that the naked singularities that arise are of the strong curvature type. Both types of singularities can also arise in higher dimensional Vaidya and Tolman-Bondi spacetimes, but black holes are favoured in some sense by the higher dimensions. The charged Vaidya-de Sitter spacetime also exhibits both types of singularities5.

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