Gravitational interactions in 2+1 dimensions

Date

1988-7-1

Author

Dereli, Tekin
Tucker, Robin W.

Metadata

Show full item record

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

Item Usage Stats

291
views

0
downloads

Modifications to Einstein's vacuum equations for gravitation in 2+1 dimensions are studied. The addition of the Schouten-Eisenhart 2-forms to the field equations admits gravitational wave solutions although no non-trivial static rotationally symmetric metrics exist. Higher-order derivative models for the metric are discussed together with a 2+1 Brans-Dicke theory. The latter is solved for a static metric exhibiting singularities.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/51906

Journal

Classical and Quantum Gravity

DOI

https://doi.org/10.1088/0264-9381/5/7/004

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

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.
CASIMIR EFFECT IN A HALF EINSTEIN UNIVERSE - AN EXACTLY SOLVABLE CASE IN CURVED BACKGROUND AND WITH A SPHERICAL BOUNDARY BAYIN, SS; OZCAN, M (IOP Publishing, 1993-09-01) We reconsider the Casimir problem for the massless conformal scalar field in a 'half Einstein universe'. We first calculate the renormalized vacuum energy by using the mode sum method. Next, we calculate the renormalized vacuum energy-momentum tensor by using the point-splitting method. We construct the Green function by using the eigenfunctions, which are obtained by solving the wave equation with the appropriate boundary conditions. We discuss the importance of this case as well as its relation to previo...
Hybrid mesons in the context of the relativistic equation Zakout, I; Sever, Ramazan (Springer Science and Business Media LLC, 1997-08-01) The flux tube model of hybrid mesons is studied in the context of the relativistic equation in the adiabatic approximation. The moment of inertia of the rigid-rod flux tube is considered in the kinetic part of the interaction. The nonrelativistic and relativistic one scalar bead flux tube is integrated numerically and compared with the adiabatic flux tube small oscillation approximation. The relativistic scalar bead picture suggests that the lowest gluonic excitation of a massive gluon is color octet q (q) ...
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.
New approach to conserved charges of generic gravity in AdS spacetimes Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-02-12) Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter spacetimes. The current yielding the charge is explicitly gauge invariant, and the charge expression involves the linearized Riemann tensor at the boundary. Hence, to compute the mass and angular momenta in these spacetimes, one just needs to compute the linearized Riemann...

Citation Formats

T. Dereli and R. W. Tucker, “Gravitational interactions in 2+1 dimensions,” Classical and Quantum Gravity, pp. 951–959, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51906.