https://doi.org/10.1140/epjp/s13360-024-05505-4
Regular Article
Gravitational collapse of relativistic compact objects in higher dimension
1
Department of Mathematics, University of the Management and Technology, C-II, Johar Town, 54590, Lahore, Pakistan
2
IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic
3
Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon
4
GCWUF, Faisalabad, Pakistan
Received:
19
July
2024
Accepted:
24
July
2024
Published online:
3
August
2024
In this work, we present an iterative method for gravitational collapse in higher dimensions. A framework is developed in a post-quasi-static regime with non-comoving coordinates. The internal five-dimensional system is smoothly matched with the corresponding outer Vaidya space-time over the boundary surface (BS). This correspondence provides a set of dimensionless surface equations in higher dimensions. The physical quantities such as Doppler shift, luminosity, and redshift at the BS of gravitating systems can be described through these surface equations. This procedure offers valuable insights that facilitate comprehension of the behavior of compact objects.
© The Author(s) 2024
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