Abstract
The (3+1)-dimensional Einstein-Gauss-Bonnet theory of gravity which breaks the Lorentz invariance in a theoretically consistent and observationally viable way has been recently suggested by Aoki, Gorji and Mukohyama [5]. Here we calculate grey-body factor for Dirac, electromagnetic and gravitational fields and estimate the intensity of Hawking radiation and lifetime for asymptotically flat black holes in this theory. Positive coupling constant leads to much smaller evaporation rate and longer life-time of a black hole, while the negative one enhances Hawking radiation. The grey-body factors for electromagnetic and Dirac fields are smaller for larger values of the coupling constant.
Highlights
Higher curvature corrections added to the Einstein theory of gravity represent a broad area of alternative theories of gravity generalizing General Relativity
The effective potential for the “minus” sign Dirac field has a negative gap near the event horizon and it is iso-spectral to the “plus” potential, what was shown for a generic spherically symmetric black holes in [37]
We will assume that the black hole is in the state of thermal equilibrium with its environment in the following sense: the temperature of the black hole does not change between emissions of two consequent particles
Summary
We will compute grey-body factors and energy emission rates for electromagnetic, Dirac and gravitational fields in the vicinity of an asymptotically flat black holes in the (3 + 1)-dimensional Einstein-GaussBonnet theory This includes calculations of radiation flows for neutrinos, photons and gravitons as well as for ultra-relativistic electrons and protons. A crucial aspect for our consideration of Hawking radiation is that the black-hole solution obtained as a result of the dimensional regularization suggested in [1], is an exact solution of the well-defined truly fourdimensional Aoki-Gorji-Mukohyama theory [5] or theories with extra scalar degrees of freedom [14, 17, 54, 57]. Notice that the above introduced black-hole metric was considered earlier in a different context connected with corrections to the entropy formula [65, 66]
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