Dynamical behavior of stellar structures in $$f(\mathcal{G})$$ gravity
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DYNAMICAL BEHAVIOR OF STELLAR STRUCTURES IN f (G) GRAVITY T. Naz∗ and M. F. Shamir∗
In the context of modified f (G) gravity, we study the appearance of anisotropic compact stellar objects. The space–time geometry is characterized by the metric potentials, and to solve the field equations, we consider their specific form known as the Tolman–Kuchowicz space–time. The obtained solutions are free of singularities and satisfy all requirements for stellar objects. We consider the observational data for models of the stars Cen X-3, EXO 1785-248, and LMC X-4, and taking these data into account, we obtain the values of the physical parameters from the matching conditions for the interior Tolman–Kuchowicz space–time and the exterior Schwarzschild metric. In addition, we discuss some physical attributes of anisotropic compact stellar structures to verify the physical validity and stability of the proposed model. We perform a three-dimensional graphical analysis that allows obtaining a representation of the physical behavior of these compact objects. We note that all three compact objects correspond to physically accepted models.
Keywords: stellar structure, f (G) gravity, metric potential
DOI: 10.1134/S0040577920110082
1. Introduction The phenomenon of the current observed acceleration of the Universe has attracted much attention from researchers in contemporary cosmology. Based on the available experimental evidence such as typeIa supernovas [1], cosmic microwave background radiation [2], [3], and large-scale structures and weak lensing, it has become understood that the Universe is experiencing late-time accelerated expansion. This phenomenon has now become a most revolutionary reality in the framework of modern cosmology and astrophysics, and two main approaches have been proposed to explain it. The first suitable approach for explaining the accelerated expansion of the Universe in the framework of general relativity (GR) is the existence of dark energy, which supports a strong negative pressure. The second approach consists in modifying the Einstein–Hilbert action at large scales. These modifications of GR play a lead role in showing the interesting realities underlying the expansion of the Universe [4]. Based on a modification of the Einstein action, several extended theories of gravity have been proposed in recent decades. For example, theories such as f (R), f (G), f (T ), f (R, T ), and f (G, T ) gravity, etc., ∗
National University of Computer and Emerging Sciences, Lahore, Pakistan, e-mail: [email protected], [email protected] (corresponding author). This research was supported by National University of Computer and Emerging Sciences (NUCES), Pakistan. Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 205, No. 2, pp. 324–345, November, 2020. Received February 13, 2020. Revised February 29, 2020. Accepted April 1, 2020. c 2020 Pleiades Publishing, Ltd. 0040-5779/20/2052-1527
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