Gravitational waves in higher-order $R^{2}$ gravity

Abstract

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic-scalar-curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus a R 2 -contribution and a term of the type R R. The main focus is on gravitational waves emitted by binary systems such as binary black holes and binary pulsars in the approximation of circular orbits and non-relativistic motion. The waveform of higher-order gravitational waves from binary black holes is constructed and compared with the waveform predicted by standard general relativity; we conclude that the merger occurs before in our model than what would be expected from GR. The decreasing rate of the orbital period in binary pulsars is used to constraint the coupling parameters of our higher-order R 2 -gravity; this is done with Hulse-Taylor binary pulsar data leading to κ −1 0 1.1 × 10 16 m 2 , where κ −1 0 is the coupling constant for the R 2 -contribution.

Neutron stars in modified teleparallel gravity

“…Sometimes these theories may fail in solar system scales, but in several cases, they are still useful in the context of effective theories. Applications of modified theories of gravity have been discussed in several areas like compact objects, the early universe, gravitational waves, and so on [9,28,29,[32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”