Abstract

We investigate the gravitational collapse of a gravitational bounded object constituted of dust cloud and dark energy. We considered the the effects of homogenous and isotropic fluid on newly suggested 4D limit for Einstein-Gauss-Bonnet gravity(EGB) (For detail about EGB gravity, arXiv:1905.03601v3). For this purpose, we consider the gravitational collapse of gravitational object made of dust cloud ρDM in the background of dark energy, p = wρ with (w < −1/3). We illustrate that the procedure is qualitatively equivalent to the scenario of theory of Einstein for the collapse of the gravitational object composed of homogeneous dust. Further, we consider the collapse for dark energy by considering the equation of state p = wρ to find that black hole also may form in EGB case, which predict that end state of gravitational collapse in EGB case is consistent with results carried out in pure Einstein’s gravity theory. We have discussed two separate case, first, gravitational collapse of dust cloud in the context of EGB, in the second case, gravitational collapse of dark energy in EGB background. It is found that, gravitational collapse leads to formation of black hole in both cases. It is also worth mentioning that, end state of gravitational collapse in EGB context is same as in pure Einstein's gravity. Here, in this study dark matter refer to dust cloud, a matter with zero pressure.

Highlights

  • The paper plane designed as follows: In Section(II), we examine the features of gravitational collapse in GB-gravity with in the back ground of dark energy

  • In Section(III) we will study the gravitational collapse in 4D-Einsteins-Gauss-Bonnet for dust collapse and dark energy separately, so to explore the distinct role that they will perform during the phenomena of collapse by finding the equation of motion form of the curve for singularity and the apparent horizon (AH) for the theory of 4−dimensional limit, and in pure Einstein theory, we will compare the corresponding outcomes

  • We have investigate the features that the collapse still produces black holes for w > −1/3, even the situation of the dust cloud in which w = 0

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Summary

Introduction

The Lovelock theorem specifies that the term namely GB in equation of the motion just responds to D> 4 dimension respectively [6] The nature of such a 4D-EGB is currently under consideration but questions have been lifted regarding the suggested rescaling that eliminates the factor with the one which is unknown. In Section(III) we will study the gravitational collapse in 4D-Einsteins-Gauss-Bonnet for dust collapse and dark energy separately, so to explore the distinct role that they will perform during the phenomena of collapse by finding the equation of motion form of the curve for singularity and the apparent horizon (AH) for the theory of 4−dimensional limit, and in pure Einstein theory, we will compare the corresponding outcomes.

Gravitational collapse with dust cloud
Conclusion
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