Quantum corrected equations of motion in the interior and exterior Schwarzschild spacetimes

Abstract

Article (Accepted Version) http://sro.sussex.ac.uk Calmet, Xavier, Casadio, Roberto and Kuipers, Folkert (2020) Quantum corrected equations of motion in the interior and exterior Schwarzschild spacetimes. Physical Review D: Particles, Fields, Gravitation and Cosmology, 102 (2). a026018.

Hawking temperature and the bound on greybody factors in $D = 4$ double field theory

“…Since metric (2.5) has spherical symmetry, according to ref. [27], the angular variables can be seperated from the other coordinates, i.e.,…”

The effect of quantum correction on Hawking radiation for Schwarzschild black holes

“…Therefore, we cannot expand the first term of (2.6) in powers of G to obtain the term β. Moreover, we should point out that the true perturbation parameters are the inverse of the radius of the curvature in units of Planck length and the compactness of the star, which are dimensionless [21]. By introducing the tortoise coordinate [21]…”

“…Since the seminal work of Weinberg in 1979 [13], much progress has been made in quantum gravity using effective field theory methods [14][15][16][17][18][19][20]. Although finding a consistent quantum gravity at all energy scales is still an extremely difficult problem at the moment, EFT methods can be applied at energies below the Planck mass and enables calculations in quantum gravity which are model independent [12,21]. The only two requirements are that Lorentz invariance is a fundamental symmetry and general coordinate invariance is the correct symmetry at low energy scale [12].…”

“…The quantum gravitational effective action contains two parts: local and nonlocal operators. The Wilson coefficients of the local operators cannot be calculated if we have no knowledge of the ultraviolet complete theory of quantum gravity, however, the Wilson coefficients of the non-local operator can be obtained from first principles and only depend on the infrared physics which we have understood very well [21]. More related details can be found in refs.…”

“…More related details can be found in refs. [12,21]. The main aim of the original paper [12] is to describe the metric inside and outside a star, taking into account quantum effects.…”