Spectral Broadening of Radiation from Relativistic Collapsing Objects

TL;DR

This paper investigates how the spectral broadening of radiation emitted during the collapse of a spherical object can reveal physical parameters like mass and radius, using a simplified monochromatic radiation model.

Contribution

It introduces a simplified model to analyze spectral broadening during gravitational collapse and proposes methods to infer physical parameters from observational data.

Findings

Spectral broadening correlates with the collapse dynamics.

Light curves can be used to estimate mass and radius.

Model provides a basis for interpreting observations of collapsing objects.

Abstract

We study light curves and the spectral broadening of the radiation emitted during the finite interval of time by a surface of a collapsing object. We study a simplified model of monochromatic radiations from a spherical surface which is assumed to be falling freely. We discuss the possible way how to infer the physical parameters, such as the mass and radii of emission, from the light curves and spectral broadenings.