NON-METRICITY INDUCED BY DILATON GRAVITY IN 2 DIMENSIONS

1994-10-01
DERELI, T
TUCKER, RW
We discuss how theories of dilaton gravity can be constructed in terms of a torsionfree but non-metric-compatible connection and explore the nature of connection-induced dilaton couplings to gravity when the theory is reformulated in terms of the Levi-Civita connection. Exact classical solutions are presented in the context of a string-inspired dilaton model in two dimensions.
CLASSICAL AND QUANTUM GRAVITY

Suggestions

Non-Riemannian gravity and the Einstein-Proca system
Dereli, T; Onder, M; Schray, J; Tucker, RW; Wang, C (IOP Publishing, 1996-08-01)
We argue that all Einstein-Maxwell or Einstein-Proca solutions to general relativity may be used to construct a large class of solutions (involving torsion and non-metricity) to theories of non-Riemannian gravitation that have been recently discussed 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.
All unitary cubic curvature gravities in D dimensions
Sisman, Tahsin Cagri; Gullu, Ibrahim; Tekin, Bayram (IOP Publishing, 2011-10-07)
We construct all the unitary cubic curvature gravity theories built on the contractions of the Riemann tensor in D-dimensional (anti)-de Sitter spacetimes. Our construction is based on finding the equivalent quadratic action for the general cubic curvature theory and imposing ghost and tachyon freedom, which greatly simplifies the highly complicated problem of finding the propagator of cubic curvature theories in constant curvature backgrounds. To carry out the procedure we have also classified all the unit...
Energy in topologically massive gravity
Deser, S; Tekin, Bayram (IOP Publishing, 2003-11-07)
We define conserved gravitational charges in cosmologically extended topologically massive gravity, exhibit them in surface integral form about their de Sitter or flat vacua and verify their correctness in terms of two basic types of solution.
Gravitational interactions in 2+1 dimensions
Dereli, Tekin; Tucker, Robin W. (IOP Publishing, 1988-7-1)
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.
Citation Formats
T. DERELI and R. TUCKER, “NON-METRICITY INDUCED BY DILATON GRAVITY IN 2 DIMENSIONS,” CLASSICAL AND QUANTUM GRAVITY, pp. 2575–2583, 1994, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64632.