Thermal fluctuation, deflection angle and greybody factor of a high-dimensional Schwarzschild black hole in STVG

TL;DR

This paper investigates how thermal fluctuations, spacetime dimensions, and STVG parameters influence the thermodynamics, deflection angle, and greybody factors of high-dimensional Schwarzschild black holes.

Contribution

It introduces detailed analysis of thermal fluctuation corrections and their effects on thermodynamics, deflection angles, and greybody factors in high-dimensional Schwarzschild black holes within STVG.

Findings

Thermal fluctuation corrections significantly affect black hole thermodynamics.

Deflection angles depend on spacetime dimensions and STVG parameters.

Greybody factor bounds are derived for massless scalar fields.

Abstract

In this work, we study the thermal fluctuation, deflection angle and greybody factor of the high-dimensional Schwarzschild black hole in scalar-tensor-vector gravity (STVG). Based on the correction of black hole entropy due to thermal fluctuation, we calculate some thermodynamic quantities associated with the correction of black hole entropy. The influence of the first-order and second-order corrections, spacetime dimensionality and STVG parameters on these thermodynamics quantities are discussed in detail. Additionally, by utilizing the Gauss-Bonnet theorem, the deflection angle is obtained in the weak field limit and the effect of two parameters on the results is visualized. Finally, we calculate the bounds on greybody factors of a massless scalar field.