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Schwarzschild-de Sitter spacetime: the role of Temperature in the emission of Hawking radiation

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abstract

We consider a Schwarzschild-de Sitter (SdS) black hole, and focus on the emission of massless scalar fields either minimally or non-minimally coupled to gravity. We use six different temperatures, two black-hole and four effective ones for the SdS spacetime, as the question of the proper temperature for such a background is still debated in the literature. We study their profiles under the variation of the cosmological constant, and derive the corresponding Hawking radiation spectra. We demonstrate that only few of these temperatures may support significant emission of radiation. We finally compute the total emissivities for each temperature, and show that the non-minimal coupling constant of the scalar field to gravity also affects the relative magnitudes of the energy emission rates.

fields

gr-qc 2

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes

gr-qc · 2026-06-02 · unverdicted · novelty 4.0

Numerical scattering calculations for neutral scalar and Dirac fields on Einstein-Euler-Heisenberg-de Sitter black holes show that Euler-Heisenberg coupling raises barriers and shifts transmission frequencies upward while cosmological constant lowers thresholds, with luminosity highly sensitive to t

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