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

TL;DR

This paper derives quantum gravitational corrections to geodesics and equations of motion in Schwarzschild spacetime, revealing an additional redshift effect due to quantum gravity that is model independent.

Contribution

It provides a model-independent calculation of quantum corrections to geodesics and introduces a new redshift effect from quantum gravity in Schwarzschild spacetime.

Findings

Quantum corrections to geodesics are derived reliably.

An additional redshift effect from quantum gravity is identified.

Corrections are model independent.

Abstract

In this paper we derive the leading quantum gravitational corrections to the geodesics and the equations of motion for a scalar field in the spacetime containing a constant density star. It is shown that these corrections can be calculated in quantum gravity reliably and in a model independent way. Furthermore, we find that quantum gravity gives rise to an additional redshift that results from the gradient instead of the amplitude of the density profile.