Supersymmetric solutions to topologically massive gravity and black holes in three dimensions

2001-07-15
We obtain a general class of exact solutions to topologically massive gravity with or without a negative cosmological constant. In the first case, we show that the solution is supersymmetric and asymptotically approaches the extremal BTZ black hole solution, while in the latter case it goes to flat space-time.
PHYSICAL REVIEW D

Suggestions

Mass spectra of heavy quarkonia and B-c decay constant for static scalar-vector interactions with relativistic kinematics
Ikhdair, SM; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2005-11-10)
We reproduce masses of the self-conjugate and non-self-conjugate mesons in the context of the spinless Salpeter equation taking into account the relativistic kinematics and the quark spins. The hyperfine splittings for the 2S charmonium and IS bottomonium are also calculated. Further, the pseudoscalar and vector decay constants of the Be meson and the unperturbed radial wave function at the origin are also calculated. We have obtained a local equation with a complete relativistic corrections to a class of t...
Higher dimensional metrics of colliding gravitational plane waves
Gurses, M; Kahya, EO; Karasu, Atalay (2002-07-15)
We give a higher even dimensional extension of vacuum colliding gravitational plane waves with the combinations of collinear and noncollinear polarized four-dimensional metrics. The singularity structure of space-time depends on the parameters of the solution.
Gravitational energy in quadratic-curvature gravities
Deser, S; Tekin, Bayram (2002-09-02)
We define energy (E) and compute its values for gravitational systems involving terms quadratic in curvature. There are significant differences, both conceptually and concretely, from Einstein theory. For D=4, all purely quadratic models admit constant curvature vacua with arbitrary Lambda, and E is the "cosmological" Abbott-Deser (AD) expression; instead, E always vanishes in flat, Lambda=0, background. For combined Einstein-quadratic curvature systems without explicit Lambda-term vacuum must be flat space...
Weyl gauging of topologically massive gravity
Dengiz, Suat; Kilicarslan, Ercan; Tekin, Bayram (2012-11-06)
We construct a Weyl-invariant extension of topologically massive gravity, which remarkably turns out to include topologically massive electrodynamics, with a Proca mass term, conformally coupled to a scalar field. The action has no dimensionful parameters; therefore, the masses are generated via symmetry breaking either radiatively in flat backgrounds or spontaneously in constant curvature backgrounds. The broken phase of the theory, generically, has a single massive spin-2 and a massive spin-1 excitation. ...
Exact solutions and the consistency of 3D minimal massive gravity
Altas, Emel; Tekin, Bayram (2015-07-20)
We show that all algebraic type-O, type-N and type-D and some Kundt-type solutions of topologically massive gravity are inherited by its holographically well-defined deformation, that is, the recently found minimal massive gravity. This construction provides a large class of constant scalar curvature solutions to the theory. We also study the consistency of the field equations both in the source-free and matter-coupled cases. Since the field equations of MMG do not come from a Lagrangian that depends on the...
Citation Formats
T. Dereli and B. Ö. Sarıoğlu, “Supersymmetric solutions to topologically massive gravity and black holes in three dimensions,” PHYSICAL REVIEW D, pp. 0–0, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41104.