TOV equations matched with Schwarzschild static Einstein-Gauss-Bonnet metrics
Abstract
In our previous article [AIP Conf. Proc 3016, 020003 (2024)], we derived the differential equations for two generating theorems for the Einstein-Gauss-Bonnet equation in 4D. In this article, we will focus on the Tolman–Oppenheimer–Volkov [TOV] equation is for understanding how perfect fluid spheres are structured internally, providing insights into the distribution and interplay of pressure and density. Then, we will generate solution theorems for the TOV equations applicable to perfect fluid spheres for the Einstein-Gauss-Bonnet equation in 4D, while deformed solutions to the TOV equations are expressed using Δpc and Δpc at the central point.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Relativity and Gravitational Theory
Black Holes and Theoretical Physics
Publication details
- Journal / source
- AIP conference proceedings
- Volume
- 3326
- Pages
- 040001–040001
- Publication date
- 1 January 2026
- Language
- EN