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Main Authors: Mota, Clésio E., Pretel, Juan M. Z., Flores, César O. V.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.13360
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author Mota, Clésio E.
Pretel, Juan M. Z.
Flores, César O. V.
author_facet Mota, Clésio E.
Pretel, Juan M. Z.
Flores, César O. V.
contents This study explores the behavior of compact stars within the framework of $f(R,L_m,T)$ gravity, focusing on the functional form $f(R,L_m,T) = R + αTL_m$. The modified Tolman-Oppenheimer-Volkoff (TOV) equations are derived and numerically solved for several values of the free parameter $α$ by considering both quark and hadronic matter -- described by realistic equations of state (EoSs). Furthermore, the stellar structure equations are adapted for two different choices of the matter Lagrangian density (namely, $L_m= p$ and $L_m= -ρ$), laying the groundwork for our numerical analysis. As expected, we recover the traditional TOV equations in General Relativity (GR) when $α\rightarrow 0$. Remarkably, we found that the two choices for $L_m$ have appreciably different effects on the mass-radius diagrams. Results showcase the impact of $α$ on compact star properties, while final remarks summarize key findings and discuss implications, including compatibility with observational data from NGC 6397's neutron star. Overall, this research enhances comprehension of $f(R,L_m,T)$ gravity's effects on compact star internal structures, offering insights for future investigations.
format Preprint
id arxiv_https___arxiv_org_abs_2402_13360
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Neutron stars in $f(R,L_m,T)$ gravity
Mota, Clésio E.
Pretel, Juan M. Z.
Flores, César O. V.
General Relativity and Quantum Cosmology
This study explores the behavior of compact stars within the framework of $f(R,L_m,T)$ gravity, focusing on the functional form $f(R,L_m,T) = R + αTL_m$. The modified Tolman-Oppenheimer-Volkoff (TOV) equations are derived and numerically solved for several values of the free parameter $α$ by considering both quark and hadronic matter -- described by realistic equations of state (EoSs). Furthermore, the stellar structure equations are adapted for two different choices of the matter Lagrangian density (namely, $L_m= p$ and $L_m= -ρ$), laying the groundwork for our numerical analysis. As expected, we recover the traditional TOV equations in General Relativity (GR) when $α\rightarrow 0$. Remarkably, we found that the two choices for $L_m$ have appreciably different effects on the mass-radius diagrams. Results showcase the impact of $α$ on compact star properties, while final remarks summarize key findings and discuss implications, including compatibility with observational data from NGC 6397's neutron star. Overall, this research enhances comprehension of $f(R,L_m,T)$ gravity's effects on compact star internal structures, offering insights for future investigations.
title Neutron stars in $f(R,L_m,T)$ gravity
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2402.13360