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Published on: August 12, 2013
Black holes in higher derivative gravity
H Lü1, A Perkins2, C N Pope3,4
1Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China.
Abstract:
Extensions of Einstein gravity with higher-order derivative terms arise in string theory and other effective theories, as well as being of interest in their own right. In this Letter we study static black-hole solutions in the example of Einstein gravity with additional quadratic curvature terms. A Lichnerowicz-type theorem simplifies the analysis by establishing that they must have vanishing Ricci scalar curvature. By numerical methods we then demonstrate the existence of further black-hole solutions over and above the Schwarzschild solution. We discuss some of their thermodynamic properties, and show that they obey the first law of thermodynamics.
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