Stationary Lifshitz black hole of New Massive Gravity

Download
2019-01-10
I present the stationary Lifshitz black hole solution of three-dimensional New Massive Gravity theory and study its elementary geometric and thermodynamical properties.
CLASSICAL AND QUANTUM GRAVITY

Suggestions

Circularly symmetric solutions of minimal massive gravity at its merger point
Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2019-07-25)
I find all the static circularly symmetric solutions of minimal massive 3D gravity at its merger point, construct stationary versions of these and discuss some of their geometric and physical properties. It turns out that apart from a static hairy black hole, there is also a static gravitational soliton, that has been overlooked in the literature.
Topologically massive gravity as a Pais-Uhlenbeck oscillator
Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2006-12-21)
We give a detailed account of the free- field spectrum and the Newtonian limit of the linearized ` massive' ( Pauli -Fierz), 'topologically massive' ( Einstein Hilbert - Chern - Simons) gravity in 2 + 1 dimensions about a Minkowski spacetime. For a certain ratio of the parameters, the linearized free theory is Jordan diagonalizable and reduces to a degenerate ` Pais - Uhlenbeck' oscillator which, despite being a higher derivative theory, is ghost free.
Mass and angular momentum of asymptotically AdS or flat solutions in the topologically massive gravity
Olmez, S; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2005-10-21)
We study the conserved charges of supersymmetric solutions in the topologically massive gravity theory for both asymptotically flat and constant curvature geometries.
Symmetric Surface Momentum and Centripetal Force for a Particle on a Curved Surface
Shikakhwa, M. S. (IOP Publishing, 2018-09-01)
The Hermitian surface momentum operator for a particle confined to a 2D curved surface spanned by orthogonal coordinates and embedded in 3D space is expressed as a symmetric expression in derivatives with respect to the surface coordinates and so is manifestly along the surface. This is an alternative form to the one reported in the literature and usually named geometric momentum, which has a term proportional to the mean curvature along the direction normal to the surface, and so "apparently" not along the...
THE ENERGY LOCALIZATION PROBLEM AND THE RENORMALIZED VACUUM ENERGY IN STATIC ROBERTSON-WALKER UNIVERSES
BAYM, SS (Springer Science and Business Media LLC, 1994-10-01)
We calculate the renormalized quantum vacuum energy inside a spherical boundary for the massless conformal scalar field in curved background Robertson-Walker geometry. We use the mode sum method with an exponential cuttoff. In our calculations we do not make assumptions about the exterior geometry or the global topology of the universe.
Citation Formats
B. Ö. Sarıoğlu, “Stationary Lifshitz black hole of New Massive Gravity,” CLASSICAL AND QUANTUM GRAVITY, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36373.