The blackbody radiation in a D-dimensional universes

Cardoso, Tatiana R.; Castro, Antonio S. de

doi:10.1590/s1806-11172005000400007

Cited by 31 publications

(23 citation statements)

References 4 publications

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“…In particular, for a photon gas the electromagnetic field has zero average background value, ∂ a φ = 0, but non-zero variance, ∂ a φ∂ b φ = 0. In 3D, the pressure p and energy density ρ satisfy an equation of state p = ρ/2, where ρ = ζ(3)T 3 /π for a gas at temperature T [20,21]. For a scalar field, the energy-momentum tensor is…”

Section: Causality (3d)mentioning

confidence: 99%

Infrared consistency and the weak gravity conjecture

Cheung

Remmen

2014

J. High Energ. Phys.

110

184

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The weak gravity conjecture (WGC) asserts that an Abelian gauge theory coupled to gravity is inconsistent unless it contains a particle of charge q and mass m such that q ≥ m/m Pl . This criterion is obeyed by all known ultraviolet completions and is needed to evade pathologies from stable black hole remnants. In this paper, we explore the WGC from the perspective of low-energy effective field theory. Below the charged particle threshold, the effective action describes a photon and graviton interacting via higher-dimension operators. We derive infrared consistency conditions on the parameters of the effective action using i ) analyticity of light-by-light scattering, ii ) unitarity of the dynamics of an arbitrary ultraviolet completion, and iii ) absence of superluminality and causality violation in certain non-trivial backgrounds. For convenience, we begin our analysis in three spacetime dimensions, where gravity is non-dynamical but has a physical effect on photon-photon interactions. We then consider four dimensions, where propagating gravity substantially complicates all of our arguments, but bounds can still be derived. Operators in the effective action arise from two types of diagrams: those that involve electromagnetic interactions (parameterized by a charge-to-mass ratio q/m) and those that do not (parameterized by a coefficient γ). Infrared consistency implies that q/m is bounded from below for small γ.

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Section: Causality (3d)mentioning

confidence: 99%

Infrared consistency and the weak gravity conjecture

Cheung

Remmen

2014

J. High Energ. Phys.

110

184

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“…If we obtain the impact factor b c , we can get the Hawking emission rate in D-dimensional spacetime according to Stefan-Boltzmann law, yields [10,21,23,64,65]…”

Section: Black Hole Evaporation In Dmentioning

confidence: 99%

Hawking evaporation of Einstein–Gauss–Bonnet AdS black holes in $$D\geqslant 4$$ dimensions

2021

Eur. Phys. J. C

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Einstein–Gauss–Bonnet theory is a string-generated gravity theory when approaching the low energy limit. By introducing the higher order curvature terms, this theory is supposed to help to solve the black hole singularity problem. In this work, we investigate the evaporation of the static spherically symmetric neutral AdS black holes in Einstein–Gauss–Bonnet gravity in various spacetime dimensions with both positive and negative coupling constant $$\alpha $$ α . By summarizing the asymptotic behavior of the evaporation process, we find the lifetime of the black holes is dimensional dependent. For $$\alpha >0$$ α > 0 , in $$D\geqslant 6$$ D ⩾ 6 cases, the black holes will be completely evaporated in a finite time, which resembles the Schwarzschild-AdS case in Einstein gravity. While in $$D=4,5$$ D = 4 , 5 cases, the black hole lifetime is always infinite, which means the black hole becomes a remnant in the late time. Remarkably, the cases of $$\alpha >0, D=4,5$$ α > 0 , D = 4 , 5 will solve the terminal temperature divergent problem of the Schwarzschild-AdS case. For $$\alpha <0$$ α < 0 , in all dimensions, the black hole will always spend a finite time to a minimal mass corresponding to the smallest horizon radius $$r_{min}=\sqrt{2|\alpha |}$$ r min = 2 | α | which coincide with an additional singularity. This implies that there may exist constraint conditions to the choice of coupling constant.

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“…[11,12]). The starting point is the generalized Stefan-Boltzmann law, which in d-dimensional spacetime is given by [14]…”

Section: Bekenstein and Mayo's Treatmentmentioning

confidence: 99%

Black hole entropy emission property

Wei¹,

Liu²

2017

Preprint

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In this work, we examine the entropy emission property of black holes. When the greybody factor is considered, it is found that Schwarzschild black hole is a one-dimensional entropy emitter, which is independent of the spacetime dimension and the spin of the emitted quanta. However, when generalized to other black holes with two or more parameters, the result shows that the onedimensional entropy emission property will be violated. Thus our result implies that not all black holes behave as one-dimensional entropy emitters.

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The blackbody radiation in a D-dimensional universes

Cited by 31 publications

References 4 publications

Infrared consistency and the weak gravity conjecture

Infrared consistency and the weak gravity conjecture

Hawking evaporation of Einstein–Gauss–Bonnet AdS black holes in $$D\geqslant 4$$ dimensions

Black hole entropy emission property

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