Analytically Approximate Black Hole Solution to Higher Curvature Gravity
arXiv:2608.01869 · doi:10.1142/S0217751X26460218
Abstract
Higher-curvature gravity usually leads to very complicated field equations, which makes it hard to find analytical solutions. In this work, we obtain analytical charged black hole solutions in higher-curvature gravity by using black hole thermodynamics and the continued fraction expansion. We study the thermodynamics of static black holes using the first law of thermodynamics and the Smarr formula. We show that our results agree with those obtained by directly solving the field equations in Einstein gravity.
9 pages, 1 figure, proceeding of conference. Published in International Journal of Modern Physics A
References in corpus (12)
- f(T) teleparallel gravity and cosmology
- Black Holes in Higher-Derivative Gravity
- New parametrization for spherically symmetric black holes in metric theories of gravity
- Non-Schwarzschild black-hole metric in four dimensional higher derivative gravity: analytical approximation
- Quasinormal modes of the four-dimensional black hole in Einstein-Weyl gravity
- Hawking radiation of non-Schwarzschild black holes in higher derivative gravity: a crucial role of grey-body factors
- Characterizing repulsive gravity with curvature eigenvalues
- Characterizing black hole metrics in quadratic gravity
- How general is the strong cosmic censorship bound for quasinormal modes?
- Black hole thermodynamics from logotropic fluids
- Analytically Approximation Solution to Einstein-Cubic Gravity
- Analytically Approximation Solution to Higher Derivative Gravity