https://doi.org/10.1140/epjc/s10052-020-8049-9
Regular Article - Theoretical Physics
GUP black hole remnants in quadratic gravity
1
Center of Mathematics, Federal University of ABC, Santo André, 09580-210, Brazil
2
Center of Physics, Federal University of ABC, Santo André, 09580-210, Brazil
3
International Centre for Theoretical Physics (ICTP), Strada Costiera 11, 34151, Trieste, Italy
* e-mail: roldao.rocha@ufabc.edu.br
Received:
13
September
2019
Accepted:
14
May
2020
Published online:
27
May
2020
The Hawking radiation of static, spherically symmetric, asymptotically flat solutions in quadratic gravity is here scrutinized, in the context of the generalized uncertainty principle (GUP). Near-center and near-horizon Frobenius expansions of these solutions are studied. Their Hawking thermal spectrum is investigated out of the tunnelling method and the WKB procedure. Computing the Hawking flux of these black hole solutions shows that, for small black holes and for a precise combination of the GUP parameter and the parameters that govern the gravitational interaction in quadratic gravity, the black hole luminosity can vanish. This yields absolutely stable mini black hole remnants in quadratic gravity.
© The Author(s), 2020
