Gravitomagnetism in the Kerr Newman Taub NUT spacetime

Abstract

We study the motion of test particles and electromagnetic waves in the KerrNewman-Taub-NUT spacetime in order to elucidate some of the effects associated with the gravitomagnetic monopole moment of the source. In particular, we determine in the linear approximation the contribution of this monopole to the gravitational time delay and the rotation of the plane of the polarization of electromagnetic waves. Moreover, we consider 'spherical' orbits of uncharged test particles in the Kerr-Taub-NUT spacetime and discuss the modification of the Wilkins orbits due to the presence of the gravitomagnetic monopole.

Spin, acceleration and gravity

“…This follows from the fact that the coupling of spin with the gravitomagnetic monopole moment is given by [50] …”

“…where −μ ⊕ is the NUT parameter of the Earth; other aspects of the NUT parameter including possible ways of placing limits on it have been discussed in [46,50] and references cited therein.…”

Motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime and analytical solutions

“…Although charged and uncharged spacetimes with NUT parameter have unpleasing physical properties, it is worth to investigate such spacetimes in general relativity due to their asymptotically non-flat spacetime structures. To explore their various physical phenomena the spacetimes with NUT charge have been vastly studied in the works [5,6,7,8,9,10,11,12] where in [5], an alternative physical interpretation of the NUT parameter is also illustrated.…”

Center of mass energy of the collision for two general geodesic particles around a Kerr-Newman-Taub-NUT black hole

“…The KNTN black hole is determined by the following parameters i.e., the mass M , spin parameter a, NUT parameter n and electric charge Q. The KNTN black hole can be described by the metric in the Boyer-Lindquist coordinates (t, r, θ, φ) as in [33][34][35] …”

“…Here, the condition for the particle falling freely from rest at infinity to reach the horizon can be expressed as 34) which is equivalent to…”