2010/03/31 by Julio Oliva, Sourya Ray · 243 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Einstein #Horizon #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Theoretical physics #Uniqueness #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/27/22/225002
published in Classical and Quantum Gravity 27(22), 225002 (IOP Publishing) · 21 pages, no figures, V2: two appendices and some references added, V3: New section on the generalization to arbitrary higher order. Analogy with BHT new massive gravity Lagrangian made more precise, V4: Typos corrected. To appear in CQG
arxiv created 2010/09/28 · openalex publication_date 2010/10/12 · arxiv updated 2011/01/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a new cubic theory of gravity in five dimensions which has second-order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field equations are of second order, and the theory admits a new asymptotically locally flat black hole. Furthermore, we prove the uniqueness of this solution, study its thermodynamical properties and show the existence of a C -function for the theory following the arguments of Anber and Kastor (2008 J. High Energy Phys. JHEP05(2008)061 (arXiv:0802.1290 [hep-th])) in pure Lovelock theories. Finally, we include the Einstein–Gauss–Bonnet and cosmological terms and find new asymptotically AdS black holes at the point where the three maximally symmetric solutions of the theory coincide. These black holes may also possess a Cauchy horizon.