Topologically massive gravity as a Pais-Uhlenbeck oscillator

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.


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.
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...
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.
Bachian gravity in three dimensions
Alkaç, Gökhan; Tek, Mustafa; Tekin, Bayram (American Physical Society (APS), 2018-11-16)
In three dimensions, there exist modifications of Einstein's gravity akin to the topologically massive gravity that describe massive gravitons about maximally symmetric backgrounds. These theories are built on the three-dimensional version of the Bach tensor (a curl of the Cotton-York tensor) and its higher derivative generalizations; and they are on-shell consistent without a Lagrangian description based on the metric tensor alone. We give a generic construction of these models, find the spectra and comput...
More on the classical double copy in three spacetime dimensions
Gumus, Mehmet Kemal; Alkaç, Gökhan (American Physical Society (APS), 2020-07-01)
It is well known that general relativity in three spacetime dimensions (3D) has no well-defined Newtonian limit. Recently, a static solution mimicking the behavior of the expected Newtonian potential has been found by studying the classical double copy of a point charge in gauge theory [M. Carrillo Gonzlez, B. Melcher, K. Ratliff, S. Watson, and C. D. White, J. High Energy Phys. 07 (2019) 167.]. This is the first example where the vacuum solution in the gauge theory leads to a nonvacuum solution on the grav...
Citation Formats
B. Ö. Sarıoğlu and B. Tekin, “Topologically massive gravity as a Pais-Uhlenbeck oscillator,” CLASSICAL AND QUANTUM GRAVITY, pp. 7541–7549, 2006, Accessed: 00, 2020. [Online]. Available: