# Self-gravito-acoustic shock signals in astrophysical compact objects

## TL;DR

This paper predicts the existence of self-gravito-acoustic shock signals in astrophysical compact objects like white dwarfs and neutron stars, using a modified Burgers equation to describe their formation and evolution.

## Contribution

It introduces a novel theoretical prediction of self-gravito-acoustic shock signals in ACOs using a generalized modified Burgers equation.

## Key findings

- Self-gravito-acoustic shock signals are predicted in ACOs.
- Viscous forces cause dissipation leading to shock formation.
- The evolution of shocks depends on the ratio of nonlinear to dissipative coefficients.

## Abstract

The existence of self-gravito-acoustic (SGA) shock signals (SSs) associated with negative self-gravitational potential in the perturbed state of the astrophysical compact objects (ACOs) (viz. white dwarfs, neutron stars, black holes, etc.) is predicted for the first time. A modified Burgers equation (MB), which is valid for both planar and non-planar spherical geometries, by the reductive perturbation method. It is shown that the longitudinal viscous force acting in the medium of any ACO is the source of dissipation, and is responsible for the formation of these SGA SSs. The time evolution of these SGA SSs is also shown for different values (viz. $0.5$, $1$, and $2$ ) of the ratio of nonlinear coefficient to dissipative coefficient in the MB equation. The theory presented here is so general that it can be applied in any ACO of planar or non-planar spherical shape.