Classification of solutions in topologically massive gravity Academic Article uri icon

abstract

  • We study exact solutions of three-dimensional gravity with a cosmological constant and a gravitational Chern-Simons term: the theory known as topologically massive gravity. After reviewing the algebraic classification, we show that if a solution has curvature of algebraic type D, then it is biaxially squashed AdS3. Applying the classification, we provide a comprehensive review of the literature, showing that most known solutions are locally equivalent to biaxially squashed AdS3 or to AdS pp-waves. 2010 IOP Publishing Ltd.

published proceedings

  • CLASSICAL AND QUANTUM GRAVITY

author list (cited authors)

  • Chow, D., Pope, C. N., & Sezgin, E.

citation count

  • 61

complete list of authors

  • Chow, David DK||Pope, CN||Sezgin, Ergin

publication date

  • May 2010