Geodesics Structure and Thermodynamic Properties of Gaussian Black Hole in Quadratic Ricci Scaler Gravity

TL;DR

This paper investigates the geodesic and thermodynamic properties of Gaussian Black Holes in both modified and Einstein gravities, highlighting significant thermodynamic differences and the greater physical consistency of modified gravity.

Contribution

It provides a comparative analysis of geodesic structures and thermodynamic behaviors of Gaussian Black Holes in different gravity theories, emphasizing new insights into their stability and physical relevance.

Findings

Thermodynamic differences are more pronounced than geodesic differences between the two theories.

Modified gravity shows greater consistency with physical observations.

Local and global stability analyzed via heat capacity and Gibbs energy.

Abstract

The geodesic structure and thermal properties of Gaussian Black Holes (\textbf{GBH})s in modified and Einstein gravities are studied and compared. In the geodesic part, motion of a test particle (massive and massless) are discussed, specially properties of the circular motion are considered. In the thermodynamic part, the mass, entropy and temperature functions are considered and discussed. The local and global stability is also analyzed through the Heat Capacity (\textbf{HC}) and Gibbs Energy (\textbf{GE}). The results show the thermodynamic differences are more than geodesic ones in the two theories of gravity with the note that the modified gravity is more consistent with the physical world.