Regular Article - Theoretical Physics
Study of generalized Lemaître–Tolman–Bondi spacetime in Palatini f(R) gravity
Department of Chemistry, College of Science, King Khalid University, 61413, Abha, Saudi Arabia
2 Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan
3 Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, 11991, Wadi Addawaser, Saudi Arabia
4 Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, 35516, Mansoura, Egypt
Accepted: 10 July 2022
Published online: 22 July 2022
The objective of this paper is to investigate the continuation of Lemaître–Tolman–Bondi (LTB) space-time for dissipative dust configuration in the direction of Palatini f(R) theory. In this context, the generalized form of field and dynamical equations will be formulated. We explore the effects of kinematical variables and curvature invariant on our proposed fluid configuration. The significance of Palatini f(R) scalar variables computing through the orthogonal splitting of Riemann-tensor for dissipative dust spheres will be reported. Furthermore, two subcases of LTB space-time have been carried out to note down its symmetric aspects. It is revealed that extended LTB space-time has characteristics comparable to that of LTB and computed scalar variables in both situations have identical dependance on source profile even under the effects of Palatini technique.
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