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arXiv 2602.17403gr-qchep-th
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可能存在的超钱德拉塞克har质量极限在物质-曲率耦合引力中

Implications of Matter--Curvature Coupled Gravity on Chandrasekhar Mass Limit of White Dwarfs

Birla Institute of Technology and Science, Pilani, Hyderabad Campus(比拉理工理工学院,皮拉尼,海得拉巴校区);University of Nizwa(尼兹瓦大学);University of Delhi(德里大学)

N. Priyobarta, S. K. Maurya, Ksh. Newton Singh, B. Mishra

AI总结:

本文研究了在物质-曲率耦合引力中白矮星的质量极限,发现其可能超过经典钱德拉塞克har极限。

摘要:

我们研究了在f(R,L_m)和f(R,L_m,T)引力框架下白矮星,以探索钱德拉塞克har极限。我们考虑了f(R,L_m)和f(R,L_m,T)引力的两种功能形式和一种功能形式。考虑物质拉格朗日量L_m=p,我们为每种形式计算了修正的TOV方程。通过在修正的TOV方程中使用完全简并的电子气体方程状态,我们推导出每种功能形式的质量和半径关系。我们的模型表明,钱德拉塞克har质量极限发生了显著修改,偏离了广义相对论和牛顿情况。在f(R,L_m,T)引力中,白矮星的新质量极限可达到1.537M_太阳,而在具有二次扩展的f(R,L_m)引力中可达到1.52M_太阳,而在具有指数扩展的f(R,L_m)引力中可达到2.08M_太阳。此外,我们分析了静态稳定性准则、引力红移和绝热指数。对于f(R,L_m)的幂律形式和f(R,L_m,T)引力的非线性形式,在更高密度(ρ_c > 10^{10}g/cm^3)时观察到显著变化,而在指数形式的f(R,L_m)引力情况下,较低的中心密度处也观察到显著变化。我们还计算了紧凑性和引力红移,这些值远低于中子星和黑洞。稳定性也通过绝热指数得到确认,所有模型在白矮星内部都显示Γ>4/3。总体而言,我们的模型为超钱德拉塞克har质量极限的存在提供了可行的框架,扩展了牛顿和/或广义相对论情况下的经典预测。

英文摘要:

We investigate white dwarfs in the framework of f(R,Lm) and f(R,Lm,T) gravity to explore the Chandrasekhar limit. We have considered two functional forms of f(R,Lm) and one functional form of f(R,Lm,T) gravity. Considering the matter Lagrangian Lm=p , we calculate modified TOV equations for each of the forms. By employing the fully degenerate electron gas equation of state in the modified ToV equations, we derive the mass-radius relation for each functional form of both f(R,Lm) and f(R,Lm,T) gravity. Our models imply modifications in the Chandrasekhar mass limit that deviate significantly from the GR and the Newtonian cases. In the f(R,Lm,T) gravity, the new mass limit of the white dwarf can reach up to 1.537M while in f(R,Lm,T) with the quadratic extension can reach up to 1.52M and with square-root exponential model extension up to 2.08M. Further, we analyze the static stability criterion, the gravitational redshift, and the adiabatic indices. For the power-law form of f(R,Lm) and the nonlinear form of f(R,Lm,T) gravity, significant variations are observed at higher densities rho_c>1010gcm^-3, while substantial changes are noted at much lower central densities in the case of square-root exponential model form of f(R,Lm) gravity. The higher-density configurations should be regarded as formal equilibrium solutions within the adopted Chandrasekhar EoS and not as fully realistic stable C-O WDs, since additional high-density microphysics has not been included. We also calculate compactness and gravitational redshift, which are much lower than those of NS and BH. The configuration satisfies the adiabatic stability criterion, which shows that all considered models yield Gamma > 4/3 throughout the interiors of WDs. Overall, our models provide a viable framework for the existence of superChandrasekhar mass limit, extending beyond the classical predictions in the Newtonian and/or GR cases.

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