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Angular momentum loss for eccentric compact binary in screened modified gravity. (English) Zbl 1542.83028

Summary: Gravitational wave (GW) observations provide insight into the gravity regime. These observations rely on the comparison of the data to the GWs model, which depends on the orbital evolution of the binary systems. In this paper, we study the orbital evolution of eccentric compact binaries within screened modified gravity, which is a kind of scalar-tensor theory with screening mechanisms. According to Noether’s theorem, from the theory’s GW action, we compute the angular momentum flux both as a function of the fields in the theory and as a function of the multipole moments of an N-body system. We specialize to the orbital parameters of eccentric compact binaries to express the orbital energy and angular momentum decay, and then derive the decay rates of the orbital eccentricity and semimajor axis. We find that these quantities decay faster than in General Relativity due to the presence of dipole radiation.

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C35 Gravitational waves