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Impact of anisotropic stresses during dissipative gravitational collapse

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Abstract

We employ a perturbative scheme to study the evolution of a spherically symmetric stellar body undergoing gravitational collapse in the presence of heat dissipation and anisotropic stresses. The Bowers and Liang static model is perturbed, and its subsequent dynamical collapse is studied in the linear perturbative regime. We find that anisotropic effects brought about by the differences in the radial and tangential pressures render the core more unstable than the cooler surface layers. An analysis of the temperature profiles in the interior of the collapsing body shows that the temperature is enhanced in the presence of pressure anisotropy.

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Acknowledgments

The authors are grateful to the referees for useful and constructive comments which helped clarify the main results of the paper. We also thank Professor Luis Herrera (Escuela de Fisica, Facultad de Ciencias, Universidad Central de Venezuela) for insightful advice and suggestions in finalising this manuscript. MG and SDM thank the National Research Foundation and the University of KwaZulu Natal for financial support. SDM further acknowledges that this research is supported by the South African Research Chair Initiative of the Department of Science and Technology. KPR wishes to thank the Directorate for Research and Postgraduate Support at the Durban University of Technology, in particular Prof. S. Moyo, for a lecturer replacement grant which helped make this study possible.

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Authors and Affiliations

  1. Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, South Africa

    K. P. Reddy, M. Govender & S. D. Maharaj

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  1. K. P. Reddy
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  2. M. Govender
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  3. S. D. Maharaj
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Correspondence to M. Govender.

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Reddy, K.P., Govender, M. & Maharaj, S.D. Impact of anisotropic stresses during dissipative gravitational collapse. Gen Relativ Gravit 47, 35 (2015). https://doi.org/10.1007/s10714-015-1880-x

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