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Gravitational Collapse with Dark Energy and Dark Matter in Hořava-Lifshitz Gravity

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Abstract

In this work, the collapsing process of a spherically symmetric star, made of dust cloud, is studied in Hořava Lifshitz gravity in the background of Chaplygin gas dark energy. Two different classes of Chaplygin gas, namely, New variable modified Chaplygin gas and generalized cosmic Chaplygin gas are considered for the collapse study. Graphs are drawn to characterize the nature and to determine the possible outcome of gravitational collapse. A comparative study is done between the collapsing process in the two different dark energy models. It is found that for open and closed universe, collapse proceeds with an increase in black hole mass, the only constraint being that, relatively smaller values of Λ has to be considered in comparison to λ. But in case of flat universe, possibility of the star undergoing a collapse in highly unlikely. Moreover it is seen that the most favourable environment for collapse is achieved when a combination of dark energy and dark matter is considered, both in the presence and absence of interaction. Finally, it is to be seen that, contrary to our expectations, the presence of dark energy does not really hinder the collapsing process in case of Hořava-Lifshitz gravity.

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Acknowledgements

The authors sincerely acknowledge the facilities provided by the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India where a part of the work was carried out. Authors also thank the anonymous referee for his/her invaluable comments that helped to improve the quality of the paper.

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  1. Department of Mathematics, Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700 104, India

    Prabir Rudra & Ujjal Debnath

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  1. Prabir Rudra
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  2. Ujjal Debnath
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Correspondence to Prabir Rudra.

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Rudra, P., Debnath, U. Gravitational Collapse with Dark Energy and Dark Matter in Hořava-Lifshitz Gravity. Int J Theor Phys 53, 2668–2687 (2014). https://doi.org/10.1007/s10773-014-2063-3

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