Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-10-28
Phys. Rev. D 85, 044054 (2012)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages
Scientific paper
10.1103/PhysRevD.85.044054
Chern-Simons gravitational theories are extensions of general relativity in which the parity is violated due to the Chern-Simons term. We study linear perturbations on the static and spherically symmetric background spacetime both for non-dynamical and dynamical Chern-Simons theories. We do not make an assumption that the background Chern-Simons scalar field vanishes, which has been adopted in the literature. By eliminating non-dynamical variables using their constraint equations, we derive the reduced second order action from which a set of closed evolution equations containing only dynamical variables are immediately obtained and therefore the number of propagating degrees of freedom as well. It is found that ghost is present both for the non-dynamical case and for the dynamical case unless the background Chern-Simons scalar field vanishes, which therefore puts strong constraint on the general CS theories. It is also found that if the background scalar field vanishes, ghost degrees of freedom are killed and all the modes propagate at the speed of light.
Motohashi Hayato
Suyama Teruaki
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