Greybody factor and power spectra of the Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet de-Sitter gravity

Abstract

We investigate Hawking radiation in the novel $4D$ Einstein-Gauss-Bonnet gravity which is recently formulated by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)]. We first find the constraints on $\alpha$ and $\Lambda$ to retain a dS black hole in the spacetime. Both the greybody factor and the power spectra of the Hawking radiation of the massless scalar are studied for the full range of various parameters including the GB coupling constant $\alpha$, the cosmological constant $\Lambda$ and the constant related to the scalar $\xi$ numerically. In particular, we find the greybody factor is larger for a negative $\alpha$ than the case for $\alpha \ge 0$. While, the power spectra of the Hawking radiation is higher for a allowed negative $\alpha$ than others with non-negative $\alpha$. The reason is that the temperature of the black hole would be very high when $\alpha <0$, even when $\alpha$ approaches the lower bound, the temperature would be arbitrary high.

20 pages, 7 figures

References in corpus (12)

• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Quasinormal modes, scattering and Hawking radiation in the vicinity of Einstein-dilaton-Gauss-Bonnet black hole
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Black Holes at the LHC
• The Effect of the Gauss-Bonnet term to Hawking Radiation from arbitrary dimensional Black Brane
• Superradiant instability of Kerr-de Sitter black holes in scalar-tensor theory
• Black hole evaporation in Lovelock gravity with diverse dimensions
• The Inverse Problem for Hawking Radiation

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