Eur. Phys. J. C (2015) 75: 530
https://doi.org/10.1140/epjc/s10052-015-3762-5

Regular Article - Theoretical Physics

Branes constrictions with White Dwarfs

¹ Consejo Nacional de Ciencia y Tecnología, Av, Insurgentes Sur 1582, Colonia Crédito Constructor, Del. Benito Juárez, C.P. 03940, Mexico, D.F., Mexico
² Unidad Académica de Física, Universidad Autónoma de Zacatecas, Calzada Solidaridad esquina con Paseo a la Bufa S/N, C.P. 98060, Zacatecas, Mexico

^* e-mail: aspeitia@fisica.uaz.edu.mx

Received: 7 September 2015
Accepted: 21 October 2015
Published online: 6 November 2015

Abstract

We consider here a robust study of stellar dynamics for white dwarf stars with polytropic matter in the weak-field approximation using the Lane–Emden equation from the brane-world scenario. We also derive an analytical solution to the nonlocal energy density and show the behavior and sensitivity of these stars to the presence of extra dimensions. Similarly, we analyze stability and compactness, in order to show whether it is possible to agree with the conventional wisdom of white dwarfs dynamics. Our results predict an average value of the brane tension of , with a standard deviation , which comes from a sample of dwarf stars, being weaker than other astrophysical observations but remaining higher than cosmological results provided by nucleosynthesis among others.