Keywords
equation of state
methods: analytical
stars: neutron
relativistic processes
General Relativity and Quantum Cosmology
Astrophysics - High Energy Astrophysical Phenomena
methods: analytical
stars: neutron
relativistic processes
General Relativity and Quantum Cosmology
Astrophysics - High Energy Astrophysical Phenomena
How to Cite
Approximate Analytical Solutions to the Relativistic Isothermal Gas Spheres. (2017). Revista Mexicana De Astronomía Y Astrofísica, 53(2), 247-255. https://astronomia.unam.mx/journals/rmxaa/article/view/2017rmxaa..53..247s
Abstract
In this paper we introduce a novel analytical solution to Tolman-Oppenheimer-Volkoff (TOV) equation, which is ultimately a hydrostatic equilibrium equation derived from general relativity in the framework of relativistic isothermal spheres. To improve the convergence radii of the obtained series solutions, a combination of an Euler-Abel transformation and a Padé approximation has been done. The solutions are given in the ξ-θ and ξ-ν phase planes taking into account the general relativistic effects σ=0.1, 0.2 and 0.3. A comparison between the results obtained by the suggested approach and the numerical one indicates a good agreement, with a maximum relative error of order 10-3, which establishes the validity and accuracy of the method. The proposed procedure accelerated the power series solution about ten times that of the traditional one. An application to a neutron star is presented.Similar Articles
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