Charging the Johannsen-Psaltis spacetime

TL;DR

This paper extends the Johannsen-Psaltis spacetime to include charge, analyzes its horizons and causal structure, and computes key orbital parameters, providing a new charged spacetime model with detailed geometric and physical properties.

Contribution

It introduces a charged version of the Johannsen-Psaltis spacetime by applying complex coordinate transformations to the deformed Reissner-Nordström metric, and studies its horizons and particle orbits.

Findings

No Lorentz violating regions in the spacetime.

No closed time-like curves outside the central body.

Computed locations of photon and innermost stable circular orbits.

Abstract

In this paper we develop the charged version of the spacetime proposed by Johannsen and Psaltis. Rotation is introduced in the deformed Reissner-Nordstr\"om spacetime by complex coordinate transformation. The event horizon and Killing horizon are studied. Killing horizons are represented graphically also. The analysis of the determinant of the metric shows that the spacetime does not have Lorentz violating regions. Similarly, from the study of the closed time-like curves, we see that no such curves exist outside the central body. Expressions for the energy and angular momentum for a particle on the equatorial plane are determined. Location of the circular photon orbits and innermost stable circular orbits is also computed.