Birkhoff's Theorem in Higher Derivative Theories of Gravity II: Asymptotically Lifshitz Black Holes

Understand

As a continuation of a previous work, here we examine the admittance of Birkhoff's theorem in a class of higher derivative theories of gravity.

• This class is contained in a larger class of theories which are characterized by the property that the trace of the field equations are of second order in the metric.
• The action representing these theories are given by a sum of higher curvature terms.
• Moreover the terms of a fixed order k in the curvature are constructed by taking a complete contraction of k conformal tensors.