title: Black holes in higher derivative gravity.
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.
authors.affiliation: Center for Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China.
authors.forename: H
authors.initials: H
authors.lastname: Lü
authors.affiliation: The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.
authors.forename: A
authors.initials: A
authors.lastname: Perkins
authors.affiliation: George P. & Cynthia W. Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA.|DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CB3 0WA, United Kingdom.
authors.forename: C N
authors.initials: CN
authors.lastname: Pope
authors.affiliation: The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.
authors.forename: K S
authors.initials: KS
authors.lastname: Stelle