Dynamical features and shadows of quantum Schwarzschild black hole in effective field theories of gravity

TL;DR

This paper explores quantum effects on Schwarzschild black holes within effective field theories, analyzing geodesic behavior, orbits, shadows, and thermodynamics with novel analytic methods.

Contribution

It introduces an analytic approach to determine orbit radii and examines quantum corrections' impact on black hole shadows and thermodynamics.

Findings

Quantum effects alter geodesic trajectories significantly.

Stable and unstable orbit positions are determined by a quartic equation.

Quantum corrections influence black hole shadow size and Hawking temperature.

Abstract

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic trajectories of both massive and massless particles can assume completely different behaviors depending on the sign assumed by the quantum contributions, in spite of their smallness. Moreover, we find that the positions of stable and unstable circular orbits are determined by an algebraic quartic equation, which we solve by developing a straightforward and analytic method. Additionally, we examine black hole shadows and rings by means of two different emission profile models, which account for quantum corrections to the innermost stable circular orbit and photon sphere radii. The Hawking temperature and the entropy of the black hole are also derived. Finally, we draw our conclusions.