Calculating the Hawking Temperature of Black Holes in $f(Q)$ Gravity Using the RVB Method: A Residue-Based Approach

Abstract

This paper investigates the computation of Hawking temperatures for black holes within various $f(Q)$ gravity models using the RVB method. This topological approach uncovers an additional term in the temperature calculation, which we propose originates from the residue of a specific contour integral related to the metric or curvature. By examining several specific $f(Q)$ models including quadratic, logarithmic, square root, and power law modifications as well as well known black hole solutions such as RN, Kerr, and KN black holes, we demonstrate that the correction term can consistently be interpreted as this residue. Our findings provide new insights into black hole thermodynamics within modified gravity frameworks.

This work was published in the Canadian Journal of Physics on January 10, 2025. That was the original version when submitted (the accepted version was uploaded two years later)

References in corpus (6)

• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Energy Conditions in $f(Q)$ gravity
• Spherical symmetry in $f(R)$-gravity
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity

Cited by in corpus (4)

• Accelerating behavior from dynamical system analysis parameters
• The gravitational energy-momentum pseudo-tensor in $f(Q)$ non-metric gravity
• Neutron stars in $f(\mathbb{Q})$ gravity
• Calculating the Hawking Temperatures of Kerr-Newman Black Holes in the f(R) Gravity Models with the RVB Method