Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole

Abstract

The absence of a true thermodynamical equilibrium for an observer located in the causal area of a Schwarzschild-de Sitter spacetime has repeatedly raised the question of the correct definition of its temperature. In this work, we consider five different temperatures for a higher-dimensional Schwarzschild-de Sitter black hole: the bare $T_0$, the normalised $T_{BH}$ and three effective ones given in terms of both the black hole and cosmological horizon temperatures. We find that these five temperatures exhibit similarities but also significant differences in their behaviour as the number of extra dimensions and the value of the cosmological constant are varied. We then investigate their effect on the energy emission spectra of Hawking radiation. We demonstrate that the radiation spectra for the normalised temperature $T_{BH}$ -- proposed by Bousso and Hawking over twenty years ago -- leads to the dominant emission curve while the other temperatures either support a significant emission rate only at a specific $\Lambda$ regime or they have their emission rates globally suppressed. Finally, we compute the bulk-over-brane emissivity ratio and show that the use of different temperatures may lead to different conclusions regarding the brane or bulk dominance.

31 pages, PDFLatex, 8 figures, 8 Tables, typos corrected, version to appear in Physical Review D

References in corpus (22)

• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
• Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Rotating Black Holes at Future Colliders. III. Determination of Black Hole Evolution
• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Greybody Factors for Brane Scalar Fields in a Rotating Black-Hole Background
• Graviton Emission in the Bulk from a Higher-Dimensional Schwarzschild Black Hole
• Superradiance and Instability of Black Holes
• Scalar Emission in the Bulk in a Rotating Black Hole Background
• Hawking Radiation of Five-dimensional Charged Black Holes with Scalar Fields
• Greybody factors for rotating black holes in higher dimensions
• Evaporation of a black hole off of a tense brane
• Greybody factors in a rotating black-hole background-II : fermions and gauge bosons
• Greybody Factors for Rotating Black Holes on Codimension-2 Branes
• Low frequency gray-body factors and infrared divergences: rigorous results
• Brane-World Black Holes
• Bulk scalar emission from a rotating black hole pierced by a tense brane
• Hawking radiation from rotating brane black holes
• Validity of Emparan-Horowitz-Myers argument in Hawking radiation into massless spin-2 fields
• Energy and entropy radiated by a black hole embedded in the de-Sitter braneworld
• Phase transition of the higher dimensional charged Gauss-Bonnet black hole in de Sitter spacetime

Cited by in corpus (26)

• BlackHawk v2.0: A public code for calculating the Hawking evaporation spectra of any black hole distribution
• Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity
• Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics
• Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime
• Effective thermodynamical system of Schwarzschild-de Sitter black holes from Rényi statistics
• Schwarzschild-de Sitter spacetime: the role of Temperature in the emission of Hawking radiation
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• Greybody factors for Spherically Symmetric Einstein-Gauss-Bonnet-de Sitter black hole
• Entanglement degradation in multi-event horizon spacetimes
• Black Hole and Cosmological Particle Production in Schwarzschild de Sitter
• Particle creation by de Sitter black holes revisited
• Kerr-de Sitter spacetime, Penrose process and the generalized area theorem
• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• Entropy of Higher Dimensional Charged Gauss-Bonnet Black hole in de Sitter Space
• Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence
• Higher-dimensional black holes with Dirac-Born-Infeld (DBI) global defects
• Entropic force between two horizons of dilaton black holes with a power-Maxwell field
• Overview of thermodynamic properties for Reissner-Nordstrom-de Sitter spacetime in induced phase space
• Entropy of higher-dimensional topological dS black holes with nonlinear source
• The entropic force between two horizons of charged Gauss-Bonnet Black hole in de Sitter Spacetime
• Moving mirrors and event horizons in non-flat background geometry
• Greybody factor for an electrically charged regular-de Sitter black holes in $d$-dimensions
• Radiation Spectra and Effective Temperatures in Higher-Dimensional Charged-de Sitter Black Holes
• Phase transition and entropic force in Reissner-Nordström-de Sitter spacetime
• Hawking radiation for scalar fields by Einstein-Gauss-Bonnet-de Sitter black holes
• On the Euclidean Action of de Sitter Black Holes and Constrained Instantons