Static dilaton space-time parameters from frequency shifts of photons emitted by geodesic particles

TL;DR

This paper derives the mass parameter of dilaton space-times from the frequency shifts of photons emitted by orbiting particles, providing bounds for observable shifts in specific dilaton metrics.

Contribution

It introduces a method to determine dilaton space-time parameters using photon frequency shifts, focusing on generalized Chatterjee and Gibbons-Maeda metrics.

Findings

Mass parameter expressed via redshift and blueshift.

Bounds on observable frequency shifts for these metrics.

Connection to Schwarzschild black hole in certain limits.

Abstract

The mass parameter of dilaton space-times is obtained as a function of the redshift-blueshift (zred, zblue) of photons emitted by particles orbiting in circular motion around these objects and their corresponding radii. Particularly, we work with the generalized Chatterjee and Gibbons- Maeda space-times. Both of them become the Schwarzschild black hole in certain limit of one of their parameters. Bounds for the values of these frequency shifts, that may be observed for these metrics, are also determined.