Black holes in higher derivative gravity. Academic Article uri icon


  • 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.

published proceedings

  • Phys Rev Lett

altmetric score

  • 5.35

author list (cited authors)

  • L, H., Perkins, A., Pope, C. N., & Stelle, K. S.

citation count

  • 148

complete list of authors

  • Lü, H||Perkins, A||Pope, CN||Stelle, KS

publication date

  • May 2015