Exotic massive gravity: Causality and a Birkhoff-like theorem

Tekin, Bayram
We study the local causality issue via the Shapiro time-delay computations in the on-shell consistent exotic massive gravity in three dimensions. The theory shows time delay as opposed to time advance despite having a ghost at the linearized level both for asymptotically flat and anti-de Sitter spacetimes. We also prove a Birkhoff-like theorem: any solution with a hypersurface orthogonal non-null Killing vector field is conformally flat; and we find some exact solutions.


Kerr-Schild-Kundt metrics are universal
GÜRSES, METİN; Sisman, Tahsin Cagri; Tekin, Bayram (IOP Publishing, 2017-04-06)
We define (non-Einsteinian) universal metrics as the metrics that solve the source-free covariant field equations of generic gravity theories. Here, extending the rather scarce family of universal metrics known in the literature, we show that the Kerr-Schild-Kundt class of metrics are universal. Besides being interesting on their own, these metrics can provide consistent backgrounds for quantum field theory at extremely high energies.
Event horizon detecting invariants
Tavlayan, Aydın; Tekin, Bayram (American Physical Society (APS), 2020-04-14)
Some judiciously chosen local curvature scalars can be used to invariantly characterize event horizons of black holes inD > 3 dimensions, but they fail for the three dimensional Banados-Teitelboim-Zanelli (BTZ) black hole since all curvature invariants are constant. Here we provide an invariant characterization of the event horizon of the BTZ black hole using the curvature invariants of codimension one hypersurfaces instead of the full spacetime. Our method is also applicable to black holes in generic dimen...
Neutrino oscillations induced by spacetime torsion
Adak, M; Dereli, T; Ryder, LH (IOP Publishing, 2001-04-21)
The gravitational neutrino oscillation problem is studied by considering the Dirac Hamiltonian in a Riemann-Cartan spacetime and calculating the dynamical phase. Torsion contributions which depend on the spin direction of the mass eigenstates are found. These effects are of the order of Planck scales.
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.
Accelerated Born-Infeld metrics in Kerr-Schild geometry
GÜRSES, METİN; Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2003-01-21)
We consider Einstein Born-Infeld theory with a null fluid in Kerr-Schild geometry. We find accelerated charge solutions of this theory. Our solutions reduce to the Plebanski solution when the acceleration vanishes and to the Bonnor-Vaidya solution as the Born-Infeld parameter b goes to infinity. We also give the explicit form of the energy flux formula due to the acceleration of the charged sources.
Citation Formats
E. KILIÇARSLAN and B. Tekin, “Exotic massive gravity: Causality and a Birkhoff-like theorem,” PHYSICAL REVIEW D, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42012.