Solution Generating Theorems and Tolman-Oppenheimer-Volkov Equation for Perfect Fluid Spheres in Isotropic Coordinates
- 10.2991/amsm-16.2016.61How to use a DOI?
- component; General relativity; perfect fluid sphere; isotropic coordinates; TOV equation
Despite the possibility of finding exact solutions to the Einstein field equations, there is another way to obtain new exact solutions without having to directly solve the Einstein field equations. This method is the so called "solution generating theorems". In the descriptive approximation of stars, we will bring these solutions to analyze the realistic stars. One of the popular assumptions is a perfect fluid sphere. The Tolman-Oppenheimer-Volkov (TOV) equation describes the internal structure of general relativistic static perfect fluid spheres, including the pressure and density profiles. In this paper, we find relative solution generating theorems that map perfect fluid spheres into perfect fluid spheres in isotropic coordinates. In addition, we study and develop new solutions for the TOV equation.
- © 2016, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Apisit Kinreewong AU - Petarpa Boonserm AU - Tritos Ngampitipan PY - 2016/05 DA - 2016/05 TI - Solution Generating Theorems and Tolman-Oppenheimer-Volkov Equation for Perfect Fluid Spheres in Isotropic Coordinates BT - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling PB - Atlantis Press SP - 276 EP - 280 SN - 2352-538X UR - https://doi.org/10.2991/amsm-16.2016.61 DO - 10.2991/amsm-16.2016.61 ID - Kinreewong2016/05 ER -