https://doi.org/10.1140/epjc/s10052-019-7560-3
Regular Article - Theoretical Physics
Brown dwarfs in Eddington-inspired Born-Infeld and beyond Horndeski theories
1
Departemen Fisika FMIPA Universitas Indonesia, Kampus UI, Depok, 16424, Indonesia
2
Department of Physics, Faculty of Science, University of Malaya, 50603, Kuala Lumpur, Malaysia
3
Department of Physics, Faculty of Science, Center of Theoretical Physics, University of Malaya, 50603, Kuala Lumpur, Malaysia
* e-mail: anto.sulaksono@sci.ui.ac.id
Received:
4
November
2019
Accepted:
11
December
2019
Published online:
26
December
2019
We studied herein the mass and the radius of brown dwarfs predicted by beyond Horndeski (BH) and Eddington-inspired Born-Infeld (EiBI) gravity theories by numerically solving the modified non-relativistic hydrostatic equations of both theories. We used a recent compilation of brown dwarf masses and radii obtained from Ref. Bayliss et al. (Astrophys J 153:1, 2016) to constrain the free parameter of both theories. We obtain the range of the corresponding parameters with 1 and 5
confidence by using chi-squared analysis. Furthermore, the minimum chi-squared values can be reached for the cases of
and
for EiBI and BH theories, respectively. The corresponding parameter values with the minimum chi-squared values are relatively small; therefore, they cannot significantly change the brown dwarf mass limits determined from the equivalence of nuclear and photosphere luminosities for the pp (hydrogen burning) and pp+pd (deuterium burning) reactions.
© The Author(s), 2019