Abstract
The main aim of this work is devoted to studying the existence of compact spherical systems representing anisotropic matter distributions within the scenario of alternative theories of gravitation, specifically f(R, T) gravity theory. Besides, a noteworthy and achievable choice on the formulation of f(R, T) gravity is made. To provide the complete set of field equations for the anisotropic matter distribution, it is considered that the functional form of f(R, T) as f(R, T)=R+2chi T, where R and T correspond to scalar curvature and trace of the stress–energy tensor, respectively. Following the embedding class one approach employing the Eisland condition to get a full space–time portrayal interior the astrophysical structure. When the space–time geometry is identified, we construct a suitable anisotropic model by using a new gravitational potential g_{rr} which often yields physically motivated solutions that describe the anisotropic matter distribution interior the astrophysical system. The physical availability of the obtained model, represents the physical characteristics of the solution is affirmed by performing several physical tests. It merits referencing that with the help of the observed mass values for six compact stars, we have predicted the exact radii for different values of chi -coupling parameter. From this one can convince that the solution predicted the radii in good agreement with the observed values. Since the radius of MSP J0740+6620, the most massive neutron star observed yet is still unknown, we have predicted its radii for different values of chi -coupling parameter. These predicted radii exhibit a monotonic diminishing nature as the parameter chi going from -1 to 1 gradually. The M–R curve generated from our solution can accommodate a variety of compact stars from the less massive (Her X-1) to super massive (MSP J0740+6620). So the present study uncovers that the modified f(R, T) gravity is an appropriate theory to clarify massive astrophysical systems, in any case, for chi =0.0 the standard consequences of the general relativity are recovered.
Highlights
The most striking revelation of the modern cosmology is that the present universe is expanding yet in addition accelerating. This wonderful change in cosmic historical events has been demonstrated from a different set of highaccuracy observational data collected from different cosmic sources like Cosmic Microwave Background (CMB) [1,2,3], SuperNova type Ia (SNeIa) [4,5,6,7,8], large scale structure [9,10,11], weak lensing [12] and baryon acoustic oscillations [13]
In perspective on this it is currently believed that energy setting-up of universe has 76% dark energy, 20% dark matter and 4% ordinary matter
The current accelerating expansion behavior of the universe is driven by an exotic type of force dubbed as dark energy having huge negative pressure with repulsive impacts
Summary
The most striking revelation of the modern cosmology is that the present universe is expanding yet in addition accelerating. Several authors [53,54,55,56,57] have described that the cosmic acceleration of f (R, T ) cosmology avoids the problem of dark energy because of the additional terms in T in field equations of the model, instead of being because of the presence of the cosmological constant This new terms lead to the non-disappearance of the covariant derivative of the matter stress–energy tensor, i.e., ∇μTμν = 0 [58,59,60,61]. The investigation of exact spherical solutions for relativistic objects is a troublesome issue due to the nearness of nonlinear terms in the field equations To determine this issue, we pursue the embedding class I method utilizing the Eisland condition to get obvious outcomes in finding new physically agreeable solutions for spherical compact structure.
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