Unstable regions of anisotropic relativistic spheres in higher dimensions  

作　　者：M Yousaf Bander Almutairi M Z Bhatti Z Yousaf A S Khan 

机构地区：[1]Department of Mathematics,University of Management and Technology,Johar Town Campus,Lahore 54782,Pakistan [2]Department of Mathematics,College of Science,King Saud University,PO Box 2455 Riyadh 11451,Saudi Arabia [3]Department of Mathematics,University of the Punjab,Quaid-i-Azam Campus,Lahore 54590,Pakistan [4]Institute of Advanced Study,Shenzhen University,Shenzhen 518060,Guangdong,China

出　　处：《Communications in Theoretical Physics》2025年第3期112-129,共18页理论物理通讯(英文版)

基　　金：supported by Researchers Supporting Project number:RSPD2024R650,King Saud University,Riyadh,Saudi Arabia(BA)。

摘　　要：In this work,we consider the collapse of a D-dimensional sphere in the framework of a higher-dimensional spherically symmetric space-time in which the gravitational action chosen is claimed to be somehow linked to the D-dimensional modified term.This work investigates the criteria for the dynamical instability of anisotropic relativistic sphere systems with D-dimensional modified gravity.The certain conditions are applied that lead to the collapse equation and their effects on adiabatic indexΓin both Newtonian(N)and Post-Newtonian(PN)regimes by using a perturbation scheme.The study explores that theΓplays a crucial role in determining the degree of dynamical instability.This index characterizes the fluid's stiffness and has a significant impact on defining the ranges of instability.This systematic investigation demonstrates the influence of various material properties such as anisotropic pressure,kinematic quantities,mass function,D-dimensional modified gravity parameters,and the radial profile of energy density on the instability of considered structures during their evolution.This work also displays the dynamical behavior of spherically symmetric fluid configuration via graphical approaches.

关 键 词：GRAVITATION dynamical instability mathematical and relativistic aspects of cosmology mathematical physics 

分 类 号：P142[天文地球—天体物理] O412.1[天文地球—天文学]