arXiv:2411.08921v1 Announce Type: new
Abstract: We construct equilibrium configurations for neutron stars using a specific $f(R,T)$ functional form, recently derived through gaussian process applied to measurements of the Hubble parameter. By construction, this functional form serves as an alternative explanation for cosmic acceleration, circumventing the cosmological constant problem. Here, we aim to examine its applicability within the stellar regime. In doing so, we seek to contribute to the modified gravity literature by applying the same functional form of a given gravity theory across highly distinct regimes. Our results demonstrate that equilibrium configurations of neutron stars can be obtained within this theory, with the energy density and maximum mass slightly exceeding those predicted by General Relativity. Additionally, we show that the value of some parameters in the $f(R,T)$ functional form must differ from those obtained in cosmological configurations, suggesting a potential scale-dependence for these parameters. We propose that further studies apply this functional form across different regimes to more thoroughly assess this possible dependence.
Summary: This article examines the applicability of a specific functional form of the $f(R,T)$ gravity theory, derived through gaussian process applied to measurements of the Hubble parameter, to equilibrium configurations of neutron stars. The results show that equilibrium configurations can be obtained within this theory, with slightly higher energy density and maximum mass compared to General Relativity. The study also suggests a potential scale-dependence for certain parameters in the functional form, indicating the need for further investigation across different regimes.
Introduction
The $f(R,T)$ functional form, derived through gaussian process applied to measurements of the Hubble parameter, provides an alternative explanation for cosmic acceleration and addresses the cosmological constant problem. This article aims to explore the applicability of this functional form within the stellar regime by studying equilibrium configurations of neutron stars.
Results
The study demonstrates that equilibrium configurations of neutron stars can be obtained within the $f(R,T)$ gravity theory. The energy density and maximum mass predicted by this theory slightly exceed those predicted by General Relativity. This suggests a potential modification to our understanding of gravity in the stellar regime.
Parameter Variation
The study also reveals that the values of certain parameters in the $f(R,T)$ functional form must differ from those obtained in cosmological configurations. This implies a potential scale-dependence of these parameters, which needs to be further investigated. Understanding the scale-dependence of these parameters is crucial for fully comprehending the implications of the $f(R,T)$ theory across different regimes.
Roadmap for Future Studies
- Further Studies: Future studies should apply the $f(R,T)$ functional form across different regimes to assess the potential scale-dependence of the theory’s parameters more thoroughly. This could involve examining other astrophysical objects, such as white dwarfs or black holes, to investigate whether the modifications observed in neutron stars are unique to this specific stellar regime.
- Parameter Exploration: Researchers should conduct extensive parameter exploration to determine the range of values that allow for consistent equilibrium configurations of neutron stars. This will help establish the validity of the $f(R,T)$ theory and refine our understanding of the scale-dependence of its parameters.
- Observational Tests: Observational tests should be designed to verify the predictions of the $f(R,T)$ theory in the stellar regime. This could involve comparing the observed properties of neutron stars with the theoretical predictions derived from the $f(R,T)$ functional form. Such observational tests will provide empirical evidence to support or refute the applicability of this theory.
Challenges and Opportunities
- Challenges: One of the main challenges is the complexity of the $f(R,T)$ theory, which requires careful parameterization and exploration. Additionally, obtaining observational data on neutron stars with sufficient accuracy and precision may pose a challenge.
- Opportunities: Successfully applying the $f(R,T)$ functional form across different regimes and validating its predictions would revolutionize our understanding of gravity. It could potentially lead to a unified theory of gravity that encompasses both cosmological and stellar phenomena. Furthermore, the potential scale-dependence of the theory’s parameters opens up avenues for new research and theoretical developments.
Conclusion
The results of this study demonstrate the viability of using the $f(R,T)$ functional form within the stellar regime to obtain equilibrium configurations of neutron stars. The slightly higher energy density and maximum mass compared to General Relativity indicate the need for further investigation into the scale-dependence of the theory’s parameters. Future studies should apply this functional form across different regimes, conduct parameter exploration, and design observational tests to fully assess the potential of the $f(R,T)$ theory and its implications for our understanding of gravity.