Synchrotron emitting Komissarov torus around naked singularities

TL;DR

This paper investigates the emission spectra of magnetized accretion disks around naked singularities using simulations, revealing potential observational differences from black hole systems that could test general relativity.

Contribution

It presents the first simulations of emission profiles of magnetized tori around naked singularities in the $q$-metric, analyzing how deformation and angular momentum affect observable signals.

Findings

Higher emission intensity for prolate deformed naked singularities compared to Schwarzschild black holes.

Systematic study of equilibrium configurations of magnetized tori in the $q$-metric.

Identification of potential observational signatures distinguishing naked singularities from black holes.

Abstract

From a theoretical perspective, matter accretion processes around compact objects are highly relevant as they serve as a natural laboratory to test general relativity in the strong field regime. This enables us to validate fundamental concepts such as the no-hair theorem, the cosmic censorship hypothesis, and the existence of alternative solutions to Einstein's equations that mimic the effects of black holes. In this study, we analyze the emission spectra of geometrically thick accretion disks, referred to as Polish doughnuts, around naked singularities described by the $q$-metric. To begin, we revisit the construction of equilibrium configurations of magnetized tori in this spacetime and evaluate the role of the deformation parameter over these configurations. Once we have systematically studied the disks in this spacetime, we use the \texttt{OSIRIS} code to perform a backward ray-tracing method, resulting in the first simulations of the intensity map and emission profiles of magnetized tori within this metric. Furthermore, we validate the effect of both the quadrupole moment and the angular momentum on observable quantities such as flux and intensity for optically thin and thick disks, since for values of $ q < 0$, which correspond to objects with prolate deformation, and which in turn, are constructed with higher values of angular momentum, the emission spectrum exhibits higher intensity than that obtained for Schwarzschild's spacetime. Hence, we find a first differential feature that distinguishes tori formed around naked singularities from those around static black holes.