https://doi.org/10.1140/epjc/s10052-021-08865-8
Regular Article – Theoretical Physics
Charged anisotropic spherical collapse with heat flow
1
Department of Mathematical and Statistical Sciences, Institute of Natural Sciences, Shri Ramswaroop Memorial University Lucknow, Lucknow, India
2
Department of Mathematics and Scientific Computing, National Institute of Technology Hamirpur, 177 005, Hamirpur, Himachal Pradesh, India
3
Department of Mathematics, SSJ Campus Almora, Kumaun University Nainital, Nainital, India
Received:
23
May
2020
Accepted:
13
January
2021
Published online:
20
January
2021
In this article, we study the shear-free gravitational collapse of a charged radiating star. The Einstein field equations of gravitational collapse for the charged stars are known to give rise to a high degree of non-linearity in the ordinary differential equation coming from junction conditions. The attempts to solve it analytically proved to be unfortunate. Numerical methods have been suggested in the past. However, the high degree of non-linearity tends to introduce fluctuations and large round off errors in the numerical calculation. A new ansatz is proposed in the present work to reduce the degree of non-linearity. An ordinary differential equation is derived by satisfying junction conditions, and its numerical solution is demonstrated. Physical quantities associated with the collapse process are plotted to observe the effect of charge on these quantities. It is concluded that the charge can delay the collapse of a star and can even prevent it depending upon the amount of charge. It is also verified that the solution satisfies all the energy conditions.
© The Author(s) 2021
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