Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1993-10-14
Phys.Rev. D49 (1994) 5278-5285
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, LaTeX/RevTeX3.0
Scientific paper
10.1103/PhysRevD.49.5278
We point out that in general the Reissner-Nordstr\"om (RN) charged black holes of general relativity are not solutions of the four dimensional quadratic gravitational theories. They are, e.g., exact solutions of the $R+R^2$ quadratic theory but not of a theory where a $R_{ab}R^{ab}$ term is present in the gravitational Lagrangian. In the case where such a non linear curvature term is present with sufficiently small coupling, we obtain an approximate solution for a charged black hole of charge $Q$ and mass $M$. For $Q\ll M$ the validity of this solution extends down to the horizon. This allows us to explore the thermodynamic properties of the quadratic charged black hole and we find that, to our approximation, its thermodynamics is identical to that of a RN black hole. However our black hole's entropy is not equal to the one fourth of the horizon area. Finally we extend our analysis to the rotating charged black hole and qualitatively similar results are obtained.
Economou Antonis
Lousto Carlos O.
No associations
LandOfFree
Charged Black Holes In Quadratic Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Charged Black Holes In Quadratic Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Charged Black Holes In Quadratic Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-131784