Massive gravitational waves in Chern-Simons modified gravity

Abstract

We consider the nondynamical Chern-Simons (nCS) modified gravity, which is regarded as a parity-odd theory of massive gravity in four dimensions. We first find polarization modes of gravitational waves for $\theta =x/\mu$ in nCS modified gravity by using the Newman-Penrose formalism where the null complex tetrad is necessary to specify gravitational waves. We show that in the Newman-Penrose formalism, the number of polarization modes is one in addition to an unspecified ${\Psi }_4$, implying three degrees of freedom for $\theta =x/\mu$. This compares with two for a canonical embedding of $\theta =t/\mu$. Also, if one introduces the Ricci tensor formalism to describe a massive graviton arising from the nCS modified gravity, one finds one massive mode after making second-order wave equations, which is compared to five found from the parity-even Einstein-Weyl gravity.

1+12 pages, 1 figure, version accepted for publication in JCAP

References in corpus (20)

• Massive Gravity
• Massive Gravity in Three Dimensions
• Chern-Simons Modification of General Relativity
• Chern-Simons Modified General Relativity
• Chiral Gravity in Three Dimensions
• Dynamical Chern-Simons Modified Gravity I: Spinning Black Holes in the Slow-Rotation Approximation
• Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
• Extreme- and Intermediate-Mass Ratio Inspirals in Dynamical Chern-Simons Modified Gravity
• How do Black Holes Spin in Chern-Simons Modified Gravity?
• Perturbations of Schwarzschild black holes in Dynamical Chern-Simons modified gravity
• Probing the f(R) formalism through gravitational wave polarizations
• Search for quark compositeness in dijet angular distributions from pp collisions at sqrt(s) = 7 TeV
• Black hole perturbation in nondynamical and dynamical Chern-Simons gravity
• Extra polarization states of cosmological gravitational waves in alternative theories of gravity
• Primordial massive gravitational waves from Einstein-Chern-Simons-Weyl gravity
• Graviton Excitations and Lorentz-Violating Gravity with Cosmological Constant
• Stability of Schwarzschild black hole in f(R) gravity with the dynamical Chern-Simons term
• Polarization modes of gravitational waves in three-dimensional massive gravities
• On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions
• Critical gravity in the Chern-Simons modified gravity

Cited by in corpus (3)

• Polarization modes of gravitational waves in Quadratic Gravity
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Mass-induced instability of SAdS black hole in Einstein-Ricci cubic gravity