Greybody factor for black holes in dRGT massive gravity

Abstract

In general relativity, greybody factor is a quantity related to the quantum nature of a black hole. A high value of greybody factor indicates a high probability that Hawking radiation can reach infinity. Although general relativity is correct and has been successful in describing many phenomena, there are some questions that general relativity cannot answer. Therefore, general relativity is often modified to attain answers. One of the modifications is the `massive gravity'. The viable model of the massive gravity theory belongs to de Rham, Gabadadze and Tolley (dRGT). In this paper, we calculate the gravitational potential for the de Sitter black hole and for the dRGT black hole. We also derive the rigorous bound on the greybody factor for the de Sitter black hole and the dRGT black hole. It is found that the structure of potentials determines how much the rigorous bound on the greybody factor should be. That is, the higher the potential, the lesser the bound on the greybody factor will be. Moreover, we compare the greybody factor derived from the rigorous bound with the greybody factor derived from the matching technique. The result shows that the rigorous bound is a true lower bound because it is less than the greybody factor obtained from the matching technique.

V1: 21 pages, 8 figures; V2: 7 references added, no physics changes, now 11 pages (2 columns)

References in corpus (9)

• Resummation of Massive Gravity
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity
• Bounding the greybody factors for Schwarzschild black holes
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Bounding the Bogoliubov coefficients
• Extended DBI massive gravity with generalized fiducial metric
• Spinning Particle in Gravitational Field of Black Hole Involving Global Monopole

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