2005/08/15 by Sunil D. Maharaj, S. D. Maharaj, M. Chaisi
Mathematics · Physics and Astronomy · #Anisotropy #Applied mathematics #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Constant (computer programming) #Cosmology and Gravitation Theories #Distribution (mathematics) #Einstein #Elementary function #Exact solutions in general relativity #Field (mathematics) #Gravitation #Isothermal process #Isotropy #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Quantum mechanics #SPHERES #Schwarzschild radius #Thermodynamics #gr-qc
paper · pdf · doi:10.1002/mma.665
published as Math.Methods Appl.Sci. 29 (2006) 67-83 · 23 pages, To appear in Math. Meth. Appl. Sci
openalex publication_date 2005/08/15 · arxiv created 2005/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract We establish an algorithm that produces a new solution to the Einstein field equations, with an anisotropic matter distribution, from a given seed isotropic solution. The new solution is expressed in terms of integrals of known functions, and the integration can be completed in principle. The applicability of this technique is demonstrated by generating anisotropic isothermal spheres and anisotropic constant density Schwarzschild spheres. Both of these solutions are expressed in closed form in terms of elementary functions, and this facilitates physical analysis. Copyright © 2005 John Wiley & Sons, Ltd.