Modified General Relativity and Neutron Star Properties Under r-Coordinate Transformation in Rainbow Gravity
Muhammad Hafizt Al Ghifari (a*), Anto Sulaksono (a), Handhika Satrio Ramadhan(a), Husin Alatas (b)

a) Departemen Fisika, FMIPA, Universitas Indonesia, Depok 16424, Indonesia
*muhammad.hafizt31[at]ui.ac.id
b) Theoretical Physics Division, Department of Physics, IPB University, Bogor 16680, Indonesia

Abstract

An investigation into the modified gravity model plays a crucial role in explaining the recent astrophysical data. In this study, we propose a transformation \(\tilde{r}=r/H(\varepsilon)^2)\ in the context of static neutron stars under rainbow gravity space-time, where (\H(\varepsilon))\ is the rainbow gravity function. This transformation caused a change in the TOV equation, resulting in a deviation from the standard model General Relativity (GR) prediction for the mass-radius profile. The updated mass-radius profile indicates that with a specific rainbow gravity function, our model aligns with the astrophysical data from the Neutron Star Interior Composition Explorer (NICER) and other limits set by earlier studies. Our findings suggest a modified gravity model that can help us properly describe the strange behavior of the recent astrophysical data.

Keywords: Modified gravity, neutron stars, rainbow gravity

Topic: Theory, Nuclear, and Particle Physics