Abstract
In this paper, we have studied gravitational collapse and expansion of nonstatic anisotropic fluid in 5D Einstein-Gauss-Bonnet gravity. For this purpose, the field equations have been modeled and evaluated for the given source and geometry. The two metric functions have been expressed in terms of parametric form of third metric function. We have examined the range of parameter β (appearing in the form of metric functions) for which Θ, the expansion scalar, becoming positive/negative leads to expansion/collapse of the source. The trapped surface condition has been explored by using definition of Misner-Sharp mass and auxiliary solutions. The auxiliary solutions of the field equations involve a single function that generates two types of anisotropic solutions. Each solution can be represented in term of arbitrary function of time; this function has been chosen arbitrarily to fit the different astrophysical time profiles. The existing solutions forecast gravitational expansion and collapse depending on the choice of initial data. In this case, wall to wall collapse of spherical source has been investigated. The dynamics of the spherical source have been observed graphically with the effects of Gauss-Bonnet coupling term α in the case of collapse and expansion. The energy conditions are satisfied for the specific values of parameters in both solutions; this implies that the solutions are physically acceptable.
Highlights
In the gravitational study of more than four dimensions, the unification problem of gravity with electromagnetism and other basic connections are discussed by [1,2,3]
The ten-dimensional gravity that arises from string theory contains a quadratic term in its action [7, 8]; in low energy limit
Gross and Sloan [13, 14] investigated that EGB theory of gravity occurs in the low energy effectual action [8] of super heterotic sting theory
Summary
In the gravitational study of more than four dimensions, the unification problem of gravity with electromagnetism and other basic connections are discussed by [1,2,3]. Jhingan and Ghosh [73] discussed the five or greater than fivedimensional gravitational inhomogeneous dust collapse in EGB theory of gravity They investigated the exact solution in closed form. Sunil et al [74] investigated the exact solution to the field equations for five-dimensional spherical symmetric and static distribution of the prefect fluid in EGB modified gravity. Abbas and Tahir [75] studied the exact solution of motion during gravitational collapse of prefect fluid in EGB theory of gravity. It should be observed in [73, 75,76,77,78] that coupling term α changes the structure of the singularities. The last section presents the summary of the results of this paper
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