Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity

Abstract

We study the instabilities and related anti-evaporation of the extremal Reissner-Nordström (RN) black hole in $F(R)$ gravity. It is remarkable that the effective electric charge can be generated for some solutions of $F(R)$ gravity without electromagnetic field. The anti-evaporation effect occurs but it emerges only in the strong coupling limit of the effective gravitational coupling. The instabilities of RN black hole are also investigated when the electromagnetic sector is added to the action of $F(R)$ gravity. We show the anti-evaporation occurs in the Maxwell-$F(R)$ gravity with the arbitrary gravitational coupling constant although it does not occur in the Maxwell-Einstein gravity. Furthermore, general spherically-symmetric solution of $F(R)$ gravity in the Einstein frame is obtained.

LaTeX 11 pages, no figure, publication data: Physics Letters B 735, 376-382 (2014)

References in corpus (11)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Thin accretion disks in f(R) modified gravity models
• Higher dimensional charged $f(R)$ black holes
• Spherically Symmetric Solutions to Fourth-Order Theories of Gravity
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Black hole entropy in modified gravity models
• Energy-momentum complexes in f(R) theories of gravity
• Noether Charge and Black Hole Entropy in Modified Theories of Gravity
• Stability of f(R) black holes
• Naked Singularity in a Modified Gravity Theory

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