Gravitomagnetism and Gravitational Waves

Abstract

After extensively reviewing general relativistic gravitomagnetism, both historically and phenomenologically, we review in detail the so-called magnetic components of gravitational waves (GWs), which have to be taken into account in the context of the total response functions of interferometers for GWs propagating from arbitrary directions. Following the more recent approaches of this important issue, the analysis of such magnetic components will be reviewed in both of standard General Theory of Relativity (GTR) and Scalar Tensor Gravity. Thus, we show in detail that such a magnetic component becomes particularly important in the high-frequency portion of the range of ground based interferometers for GWs which arises from the two different theories of gravity. Our reviewed results show that if one neglects the magnetic contribution to the gravitational field of a GW, approximately 15% of the potential observable signal could, in principle, be lost.

Phenomenology of the Lense-Thirring effect in the solar system

“…Thus, the indirect evidence for the existence of GWs by Hulse and Taylor (1975) might soon be confirmed. Detectors for GWs will be important for a better knowledge of the Universe (Iorio and Corda 2010) and also because the interferometric GWs detection will be the ultimate test for GTR or, alternatively, a strong endorsement for Extended Theories of Gravity (Corda 2009). In fact, if advanced projects on the detection of GWs improve their sensitivity, allowing the scientific community to perform a GW astronomy, accurate angle-and frequency-dependent response functions of interferometers for GWs arising from various theories of gravity will permit to discriminate among GTR and extended theories of gravity.…”

“…This ultimate test will work because standard GTR admits only two polarizations for GWs, while in all extended theories there exist at least three polarizations states; see Corda (2009) for details. On the other hand, the discovery of GW emission by the compact binary system composed of two Neutron Stars PSR1913+16 (Hulse and Taylor 1975) represents, for scientists working in this research field, the definitive thrust allowing to reach the extremely sophisticated technology needed for investigating in this field of research (Iorio and Corda 2010). GWs are a consequence of Einstein's GTR (Einstein 1915), which presupposes GWs to be ripples in the spacetime curvature traveling at light speed (Einstein 1916(Einstein , 1918Iorio and Corda 2010).…”

Weak gravitational field in Finsler–Randers space and Raychaudhuri equation

“…FR space can play a significant role in the theory of weak field and gravitational waves since "a gravito -electromagnetic field" is intrinsically included in its metric. Einstein's General Relativity shows indeed that gravito -magnetic field may be associated with mass currents [18], [19]. As well a gravito -magnetic force was postulated as an explanation for the anomalous precession of Mercury's perihelion [20].…”

Unified Field Theory in a Nutshell—Elicit Dreams of a Final Theory Series

“…Only in recent times, has a justifiable fundamental physical basis for Professor Maxwell and Dr. Heaviside's speculation (hereafter, the Maxwell-Heaviside Gravitomagnetic Theory) been heralded [44] [45] [48]. Presently, gravitomagnetism is accepted as first order approximation of Professor Einstein's GTR [49] [50].…”