Skip to main content

Write a PREreview

Timelike Thin-Shell Evolution in Gravitational Collapse: Geometric and Thermodynamic Perspectives in Classical General Relativity

Posted
Server
Preprints.org
DOI
10.20944/preprints202509.0991.v1

Thermodynamic ideas—linking geometry, entropy, and the negative heat capacity of gravitating systems—play an increasing role in black hole physics and late-time gravitational dynamics. Motivated by this perspective, we present a conservative, fully classical analysis of spherical collapse using only standard tools from general relativity (GR), yet admitting a clear thermodynamic reading. A timelike thin shell connects a regular constant-curvature (de Sitter) interior to a Schwarzschild or Schwarzschild–de Sitter (SdS) exterior. After a brief formation stage, we focus on a post-transient regime with negligible inflow and fixed exterior mass (ADM mass if Lambda+ = 0). Casting the Israel junction condition into an effective potential, the analysis yields: (i) a closed-form sufficient threshold for outward shell evolution, balancing interior and exterior forces; (ii) bounded scalar curvature invariants throughout the covered spacetime; and (iii) a simple, falsifiable redshift bound for near-shell spectral modes, scaled by mass. Although purely geometric in derivation, these results are consistent with classical thermodynamic intuition: entropy-like area growth, energy-driven expansion, and the role of negative specific heat. The model offers a regular, horizon-free scenario for late-time collapse in classical GR, free from curvature singularities and geodesic focusing.

You can write a PREreview of Timelike Thin-Shell Evolution in Gravitational Collapse: Geometric and Thermodynamic Perspectives in Classical General Relativity. A PREreview is a review of a preprint and can vary from a few sentences to a lengthy report, similar to a journal-organized peer-review report.

Before you start

We will ask you to log in with your ORCID iD. If you don’t have an iD, you can create one.

What is an ORCID iD?

An ORCID iD is a unique identifier that distinguishes you from everyone with the same or similar name.

Start now