WebWe find a new method for looking for the static and spherically symmetric solutions in F( R) theory of gravity. With this method, a number of new solutions in terms of the analytic … The Lagrangian density of F(R) theory of gravity takes the form Compared to struggling with the Einstein equations, it is much more convenient to directly vary the action with respect to U and f, respectively. By so doing, we find the equations of motion are Here F_{,R}\equiv \frac{dF}{dR}. We have only two … See more In general, the metric of a four dimensional, static and spherically symmetric spacetime takes the form of where x plays the role of radial variable and d\Omega ^2 is … See more In this section, let us study the structure of spacetime generally from Eq. (15). We find in general, there are two event horizons and one curvature singularity in the spacetimes. Furthermore, a deficit angle always exists in the … See more
Exact Friedmann Solutions in Higher-Order Gravity Theories - arXiv
Webparameters to develop a minimal background about f(G,T) theory of gravity. The exact bouncing solutions with physical analysis are provided with the choice of two equation of state parameters. ... literature to obtain some interesting results while studying f(R,T) theory of gravity [41]. The evolution of Hubble parameter is shown in Fig. 1 for ... WebFeb 1, 2024 · For this purpose, we consider the cylindrically symmetric space-time to discuss the cylindrical solutions in some realistic regions. We further discuss six distinct cases of exact solutions... gold crown spring hoops classic
Exact solutions in F(R) theory of gravity Request PDF
WebSep 17, 2014 · The main purpose of this paper is to explore the exact solutions of Bianchi type V spacetime in f (R, T) theory of gravity (Harko et al. 2011 ). In this context, two exact solutions are investigated using assumptions of the variation law of Hubble parameter and constant deceleration parameter. WebJun 22, 2024 · of f(R) theory of gravity. The EFEs in a homogeneous and isotropic space-time give rise to the Friedmann equations that describe the evolution of the universe. In … Webf(R) theory of gravity with the assumption that the expansion is proportional to the shear scalar ˙. We present some basics of. f(R) theory of gravity. Moreover, the physical behavior of such a model has also been discussed. 2. f(R) Theory of Gravity. The. f(R) theory is a modification of the general theory of relativity (GR). The field ... hcpc code for elbow compression sleeve