1. Non-singular interior models of anisotropic spherical structures in f(R,T) gravity.
- Author
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Naseer, Tayyab, Hassan, Komal, Sharif, M., Smitha, T. T., and Al Shaqsi, Khalifa
- Subjects
- *
EINSTEIN field equations , *CONSTANTS of integration , *DIFFERENTIAL equations , *STABILITY theory , *SURFACE pressure - Abstract
We develop two different singularity-free interior stellar models characterizing anisotropic fluid distribution in this paper in the background of f(R,T) gravity. The modified Einstein field equations and the corresponding pressure anisotropy are then calculated in conjunction with a static spherical spacetime. We then address the field equations by using two different constraints that make a system easy to solve. By taking into account specific forms of pressure anisotropy, we formulate two different stellar models. The differential equations appear in both cases whose solutions incorporate integration constants and we determine them by equating the metric potentials of the interior and the Schwarzschild exterior metrics at the spherical interface. Another condition that plays a crucial role in this regard is the vanishing radial pressure at the matching surface. We subsequently discuss multiple conditions that, when met, yield physically feasible compact models. We also consider the estimated data of a pulsar LMC X-4 along with five distinct values of the model parameter to graphically assess the developed solutions. It is concluded that both our models are well-aligned with the physically existence conditions in this modified gravity framework. [ABSTRACT FROM AUTHOR]
- Published
- 2025
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