Obtaining mass parameters of compact objects from red-blue shifts emitted by geodesic particles around them

TL;DR

This paper develops a method to determine the mass parameters of various compact objects by analyzing the redshift and blueshift of photons emitted by particles in circular geodesics, providing a way to connect observable shifts with fundamental properties.

Contribution

It introduces a novel approach to infer the mass parameters of compact objects from measurable redshift and blueshift data of emitted photons, applicable to different types of black holes and boson stars.

Findings

Derived bounds for redshift-blueshift values in observations.

Applied method to Kerr black hole using Sgr A* data.

Established a link between observable shifts and object parameters.

Abstract

The mass parameters of compact objects such as Boson Stars, Schwarzschild, Reissner Nordstrom and Kerr black holes are computed in terms of the measurable redshift-blueshift (zred, zblue) of photons emitted by particles moving along circular geodesics around these objects and the radius of their orbits. We found bounds for the values of (zred, zblue) that may be observed. For the case of Kerr black hole, recent observational estimates of SrgA\* mass and rotation parameter are employed to determine the corresponding values of these red-blue shifts.