The RVB-residue method is generalized to dynamical black holes, reproducing the local trapping-horizon temperature for Vaidya and yielding a point-dependent temperature for Kinnersley.
Dirac-Field Black Hole Entropy in \(f(Q)\) Gravity from the RVB Residue Method
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We compute the entropy of a Dirac quantum field near a static, spherically symmetric black hole in (f(Q)) gravity by combining the residue-based Robson--Villari--Biancalana method with the thin-film state-counting approach. The RVB prescription introduces a residue correction to the Hawking temperature, while the Dirac field entropy is obtained from the near-horizon WKB mode density and fermionic free energy. For an (f(Q))-deformed metric, we derive the Hamilton--Jacobi equation, radial momentum, mode number, and entropy at the residue-corrected temperature. The result shows that the Dirac-field entropy remains proportional to the horizon area after regularization, but its coefficient is modified by a cubic RVB temperature factor. An explicit expression is obtained for the quadratic model (f(Q)=Q+\alpha Q^{2}).
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Hawking Temperatures of Dynamical Black Holes from the RVB--Residue Method:Vaidya and Kinnersley Geometries
The RVB-residue method is generalized to dynamical black holes, reproducing the local trapping-horizon temperature for Vaidya and yielding a point-dependent temperature for Kinnersley.