Exact solutions and the consistency of 3D minimal massive gravity

Download

index.pdf

Date

2015-07-20

Author

Altas, Emel
Tekin, Bayram

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

185
views

74
downloads

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 metric and its derivatives only, it lacks the Bianchi identity valid for all nonsingular metrics. But it turns out that for the solutions of the equations, the Bianchi identity is satisfied. This is a necessary condition for the consistency of the classical field equations but not a sufficient one, since the rank-two tensor equations are susceptible to double divergence. We show that for the source-free case the double divergence of the field equations vanishes for the solutions. In the matter-coupled case, we show that the double divergences on the left-hand side and the right-hand side are equal to each other for the solutions of the theory. This construction completes the proof of the consistency of the field equations.

Subject Keywords

ADS

URI

https://hdl.handle.net/11511/46382

Journal

PHYSICAL REVIEW D

DOI

https://doi.org/10.1103/physrevd.92.025033

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

Kundt solutions of minimal massive 3D gravity Deger, Nihat Sadik; Sarıoğlu, Bahtiyar Özgür (AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA, 2015-11-04) We construct Kundt solutions of minimal massive gravity theory and show that, similar to topologically massive gravity (TMG), most of them are constant scalar invariant (CSI) spacetimes that correspond to deformations of round and warped (A) dS. We also find an explicit non-CSI Kundt solution at the merger point. Finally, we give their algebraic classification with respect to the traceless Ricci tensor (Segre classification) and show that their Segre types match with the types of their counterparts in TMG.
Modeling of landfill settlement: Theory Durmusoglu, E.; Corapcioglu, M.y.; Tuncay, Kağan (null; 2005-12-01) Theory of a one-dimensional multiphase mathematical model developed to simulate the settlement involving liquid and gas flows in a compressible landfill is presented. Landfill domain is assumed comprised of a deformable solid matrix, a liquid phase, and a gas phase with transient gas generation. After a two-phase model, i.e., liquid and gas phase, was developed, a solid phase was incorporated into the model. A gas generation term was employed as source and sink for solid and gas phases. After governing equa...
Hermitian and gauge-covariant Hamiltonians for a particle in a magnetic field on cylindrical and spherical surfaces Shikakhwa, M. S.; Chair, N. (IOP Publishing, 2017-01-01) We construct the Hermitian Schrodinger Hamiltonian of spin-less particles and the gauge-covariant Pauli Hamiltonian of spin one-half particles in a magnetic field, which are confined to cylindrical and spherical surfaces. The approach does not require the use of involved differential-geometrical methods and is intuitive and physical, relying on the general requirements of Hermicity and gauge-covariance. The surfaces are embedded in the full three-dimensional space and confinement to the surfaces is achieved...
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.
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. ...

Citation Formats

E. Altas and B. Tekin, “Exact solutions and the consistency of 3D minimal massive gravity,” PHYSICAL REVIEW D, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46382.