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Updated: Jun 27, 2026

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

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Published on: February 17, 2019

The Evolution of Self-Gravitating Radiating Geodesic Fluid Spheres Instantaneously Admitting a Time-like Killing.

Luis Herrera¹, Alicia Di Prisco²

¹Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, 37007 Salamanca, Spain.

Entropy (Basel, Switzerland)

|June 26, 2026

Summary

The sudden emergence of a time-like Killing vector (TKV) in radiating fluids dramatically alters their evolution. This symmetry change introduces thermal effects, impacting relaxation time and system dynamics, with implications for gravitational collapse studies.

Keywords:

interior solutions relativistic fluids spherically symmetric sources

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Area of Science:

Relativity and Gravitation
Fluid Dynamics
Thermodynamics

Background:

Radiating fluids are fundamental in astrophysical scenarios.
Symmetries, like time-like Killing vectors (TKV), govern spacetime evolution.
Understanding symmetry emergence is key to analyzing dynamic systems.

Purpose of the Study:

To investigate the impact of a sudden TKV appearance on radiating geodesic fluids.
To quantify the effects of emergent symmetry on fluid evolution.
To explore potential applications in gravitational collapse.

Main Methods:

Utilizing an asymmetry factor to model instantaneous symmetry appearance.
Analyzing physical variables to identify imprints of TKV emergence.
Investigating the relationship between asymmetry and relaxation time.

Main Results:

The sudden appearance of a TKV significantly alters fluid evolution.
Emergent TKV leaves distinct imprints on physical variables.
A thermal effect links asymmetry factor and relaxation time.

Conclusions:

Sudden TKV appearance, even briefly, drastically changes system evolution.
The study highlights a novel thermal effect in radiating fluids.
Findings offer insights into gravitational collapse dynamics.