Interior solutions of relativistic stars in the scale-dependent scenario

Panotopoulos, Grigoris; Rincón, Ángel; Lopes, Ilídio

doi:10.1140/epjc/s10052-020-7900-3

Cited by 33 publications

(13 citation statements)

References 86 publications

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“…For these values we obtain a maximum mass of approximately 1.835M . This result is compatible with several observations [12,28,52,55,88,89]. Other maximum mass values are possible depending on the value of the parameter chosen.…”

Section: Mass Surface Red Shift and Compactness Factorsupporting

confidence: 91%

Generalized compact star models with conformal symmetry

et al. 2021

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We generate a new generalized regular charged anisotropic exact model that admits conformal symmetry in static spherically symmetric spacetime. Our model was examined for physical acceptability as realistic stellar models. The regularity is not violated, the energy conditions are satisfied, the physical forces balanced at equilibrium, the stability is satisfied via adiabatic index, and the surface red shift and mass–radius ratio are within the required bounds. Our conformal charged anisotropic exact solution contains models generated by Finch–Skea, Vaidya–Tikekar and Schwarzschild. Also, some recent charged or neutral and anisotropic or isotropic conformally symmetric models are found as special cases of our exact model. Our approach using a conformal symmetry provides a generalized geometric framework for studying compact objects.

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Section: Mass Surface Red Shift and Compactness Factorsupporting

confidence: 91%

Generalized compact star models with conformal symmetry

et al. 2021

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“…Besides, it has been recently proven that the presence of dissipation, energy density inhomogeneities and shear yield the isotropic pressure condition becomes unstable [34]. Based on these points, the renewed interest in the study of fluids not satisfying the isotropic condition is clear and justifies our present work on the construction of anisotropic models [35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 73%

Stellar models with like-Tolman IV complexity factor

Andrade

Contreras

2021

Eur. Phys. J. C

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In this work, we construct stellar models based on the complexity factor as a supplementary condition which allows to close the system of differential equations arising from the Gravitational Decoupling. The assumed complexity is a generalization of the one obtained from the well known Tolman IV solution. We use Tolman IV, Wyman IIa, Durgapal IV and Heintzmann IIa as seeds solutions. Reported compactness parameters of SMC X-1 and Cen X-3 are used to study the physical acceptability of the models. Some aspects related to the density ratio are also discussed.

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“…Based on similar ideas, scale-dependent gravity is an alternative approach, where the coupling constants of the theory are allowed to vary [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. In addition to that, in higher dimensions, another possibility is the well-known Gauss-Bonnet gravity [44], and, more generically, Lovelock gravity [12] in which higher order curvature corrections are natural.…”

Section: Introductionmentioning

confidence: 99%

ISCOs and OSCOs in the Presence of a Positive Cosmological Constant in Massive Gravity

et al. 2021

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We study the impact of a non-vanishing (positive) cosmological constant on the innermost and outermost stable circular orbits (ISCOs and OSCOs, respectively) within massive gravity in four dimensions. The gravitational field generated by a point-like object within this theory is known, generalizing the usual Schwarzschild–de Sitter geometry of General Relativity. In the non-relativistic limit, the gravitational potential differs by the one corresponding to the Schwarzschild–de Sitter geometry by a term that is linear in the radial coordinate with some prefactor γ, which is the only free parameter. Starting from the geodesic equations for massive test particles and the corresponding effective potential, we obtain a polynomial of fifth order that allows us to compute the innermost and outermost stable circular orbits. Next, we numerically compute the real and positive roots of the polynomial for several different structures (from the hydrogen atom to stars and globular clusters to galaxies and galaxy clusters) considering three distinct values of the parameter γ, determined using physical considerations, such as galaxy rotation curves and orbital precession. Similarly to the Kottler spacetime, both ISCOs and OSCOs appear. Their astrophysical relevance as well as the comparison with the Kottler spacetime are briefly discussed.

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Interior solutions of relativistic stars in the scale-dependent scenario

Cited by 33 publications

References 86 publications

Generalized compact star models with conformal symmetry

Generalized compact star models with conformal symmetry

Stellar models with like-Tolman IV complexity factor

ISCOs and OSCOs in the Presence of a Positive Cosmological Constant in Massive Gravity

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