Structure of spherically symmetric objects: a study based on structure scalars

Abstract

The aim of this paper is to explore the consequences of extra curvature terms mediated from f(R, T, Q) (where Q ≡ R μ ν T μ ν ) theory on the formation of scalar functions and their importance in the study of populations who are crowded with regular relativistic objects. For this purpose, we model our system comprising of non-rotating spherical geometry formed due to gravitation of locally anisotropic and radiating sources. After considering a particular f(R, T, Q) model, we form a peculiar relation among Misner-Sharp mass, tidal forces, and matter variables. Through structure scalars, we have modeled shear, Weyl, and expansion evolutions equations. The investigation for the causes of the irregular distribution of energy density is also performed with and without constant curvature conditions. It is deduced that our computed one of the f(R, T, Q) structure scalars (Y T ) has a vital role to play in understanding celestial mechanisms in which gravitational interactions cause singularities to emerge.

Anisotropic Stellar Systems in f(R)$f(R)$ Connected Static Spacetime

“…Studying their behavior can help us test and refine theories of gravity, such as GR. [59][60][61][62] • Probing the early universe: Compact objects are thought to have formed in the early universe, shortly after the Big Bang.…”

“…Studying their behavior can help us test and refine theories of gravity, such as GR. [ 59–62 ] Probing the early universe: Compact objects are thought to have formed in the early universe, shortly after the Big Bang. Studying them can therefore provide insights into the conditions and processes that were present in the early universe. Astrophysical implications: Compact objects are involved in a variety of astrophysical phenomena, such as supernova explosions, gamma‐ray bursts, and the accretion of matter onto black holes.…”

Significance of Charge on the Dynamics of Hyperbolically Distributed Fluids

“…Our focus is on the Y TF which is helpful to estimate the extent of complexity in celestial objects and hence named as complexity factor. To gain more knowledge about the structure scalars one can see [60][61][62][63]. We will cover the main steps to reach our goal.…”

Consequences of electric charge on anisotropic hyperbolically symmetric static spacetime

“…If the total charge is positive then the increase in its distribution will increase the mass. Finally, we shall determine structure scalars in the background of metric f (R) gravity as well as in the presence of charge using the approach orthogonal splitting of the Riemann tensor brought in by Bel [57] and adopted by [58][59][60][61][62][63]. We shall adopt the same terminology as used in [58] with slight modifications.…”