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.