A probe particle in a Kerr-Newman-de Sitter cosmos

Abstract

We consider the force acting on a spinning charged test particle (probe particle) with the mass m and the charge q in slow rotating the Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We consider the case which the spin vector of the probe particle is parallel to the angular momentum vector of the KNdS space-time. We take account of the gravitational spin-spin interaction under the slow rotating limit of the KNdS space-time. When Q = M and q = m, we show that the force balance holds including the spin-spin interaction and the motion is approximately same as that of a particle in the deSitter space-time. This force cancellation suggests the possibility of the existence of an exact solution of spinning multi-KNdS black hole.

Reissner–Nordström metric in the Friedman–Robertson–Walker universe

“…The Kastor-Traschen solution describes the dynamical system of arbitrary number of extreme Reissner-Nordstrom black holes in the background of de Sitter universe. In 1999, Shiromizu and Gen extended it into the spinning version [3]. In 2000, Nayak etc.…”

Equation of state for a van der Waals universe during Reissner-Nordström expansion

“…A spinning version of the MP solution with naked singularities was found in [23] and [24]. In 1999, the KT solution was extended [25] to multi-Kerr-Newman-de Sitter black holes. Metric for Reissner-Nordström black holes in an expanding/contracting FLRW universe was obtained in [26].…”

A Reissner-Nordström+Λ Black Hole in the Friedman-Robertson-Walker Universe

“…The Kastor-Traschen solution describes the dynamical system of arbitrary number of extreme Reissner-Nordstrom black holes in the background of de Sitter universe. In 1999, Shiromizu and Gen studied charged rotating black hole in de Sitter background [10]. In 2000, Nayak et al studied the solutions for the Schwarzschild and Kerr black holes in the background of the Einstein universe [11,12].…”