New solution generating algorithm for isotropic static Einstein-Gauss-Bonnet metrics

• Published in: The European physical journal. C, Particles and fields Vol. 81; no. 12; pp. 1 - 9
• Main Authors: Maharaj, Sunil D., Hansraj, Sudan, Sahoo, Parbati
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2021; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Algorithms; Astronomy; Astrophysics; Astrophysics and Cosmology; Cosmology; Differential equations; Elementary Particles; Exact solutions; Gravitational fields; Gravitational waves; Gravity; Hadrons; Heavy Ions; Isotropy; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physical properties; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum theory; Regular Article - Theoretical Physics; Spacetime; Stellar structure; String Theory
• ISSN: 1434-6044; 1434-6052; 1434-6052
• DOI: 10.1140/epjc/s10052-021-09907-x

The static isotropic gravitational field equation, governing the geometry and dynamics of stellar structure, is considered in Einstein–Gauss–Bonnet (EGB) gravity. This is a nonlinear Abelian differential equation which generalizes the simpler general relativistic pressure isotropy condition. A gravitational potential decomposition is postulated in order to generate new exact solutions from known solutions. The conditions for a successful integration are examined. Remarkably we generate a new exact solution to the Abelian equation from the well known Schwarzschild interior seed metric. The metric potentials are given in terms of elementary functions. A physical analysis of the model is performed in five and six spacetime dimensions. It is shown that the six-dimensional case is physically more reasonable and is consistent with the conditions restricting the physics of realistic stars.