Finch-Skea solutions of anisotropic stellar models in $f(R)$ gravity

Pandya, D. M.; Thakore, Bhashin; Goti, Ridhesh; Shah, Syed Munawar; Pandya, Hardey N.

doi:10.1007/s10509-021-04000-x

Cited by 2 publications

(1 citation statement)

References 39 publications

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“…Extra matching conditions for spherically symmetric relativistic objects were provided by Goswami et al [33], and it was shown that constraints on the thermodynamic properties and stellar structure are purely mathematical [34]. For spacetime with axymptotically flat background, the exterior region can be considered as a Schwarzschild' s spacetime:…”

Section: B Junction Conditionsmentioning

confidence: 99%

Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Sokoliuk¹,

Baransky²,

Sahoo³

2023

Chinese Phys. C

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In the present article authors investigate the anisotropic stellar solutions admitting Finch-Skea symmetry (viable and non-singular metric potentials) in the presence of some exotic matter fields, such as: Bose-Einstein Condensate (BEC) dark matter, Kalb-Ramond fully anisotropic rank-2 tensor field from the low-energy string theory effective action, gauge field imposing $U(1)$ symmetry. Interior spacetime is matched with both Schwarzchild and Reissner-N"ordstrom vacuum spacetimes for BEC, KB and gauge fields respectively. Further, we have studied energy conditions, Equation of State (EoS), radial derivatives of energy density and anisotropic pressures, Tolman-Oppenheimer-Volkoff equilibrium condition, relativistic adiabatic index, sound speed and surface redshift. Most of the aforementioned conditions were satisfied and therefore solutions derived in the current study lie in the physically acceptable regime.

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Section: B Junction Conditionsmentioning

confidence: 99%

Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Sokoliuk¹,

Baransky²,

Sahoo³

2023

Chinese Phys. C

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Anisotropic compact stellar objects with a slow rotation effect

Baskey,

Das,

Rahaman

2024

Eur. Phys. J. C

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A new class of exact solutions depicting anisotropic compact objects is presented in the current work. This spherically symmetric matter distribution assumes a specific form of anisotropy to obtain the exact solution for the field equations. The obtained interior solutions are smoothly matched with the Schwarzschild exterior metric over the bounding surface of a compact star and together with the condition that the radial pressure vanishes at the boundary, the form of the model parameters are attained. One of the interesting features of the obtained solutions is the codependency of the metric potentials. We have considered the pulsar 4U1608-52 with its current estimated data (mass $$=1.57^{+0.30}_{-0.29} ~M\odot $$ = 1 . 57 - 0.29 + 0.30 M ⊙ and radius $$=9.8 \pm 1.8$$ = 9.8 ± 1.8 km [Özel in Astrophys J 820(1):28, 2016]) to study the model graphically. Moreover, we have studied the physical features and some important stability conditions for the model. Tabular comparison with other known pulsars infers that the obtained model represents a compact star within a radius of 8–12 km. Finally, we have found the angular momentum that causes the dragging of inertial frames of the slowly rotating equilibrium compact objects.

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Finch-Skea solutions of anisotropic stellar models in $f(R)$ gravity

Cited by 2 publications

References 39 publications

Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Compact stars admitting Finch-Skea symmetry in the presence of various matter fields*

Anisotropic compact stellar objects with a slow rotation effect

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