Abstract
In this paper, we study the hyper-generalized quasi-Einstein (HGQE) warped product spaces with non-positive scalar curvature. This note deals with investigating of some geometric and physical properties of \((HGQE)_{n}\) manifolds. Next, we study the general relativistic viscous fluid \((HGQE)_{4}\) spacetimes with some physical applications. Lastly, we show the existence of \((HGQE)_{4}\) spacetimes by constructing a non-trivial example.
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\((HGQE)_{4}\) is considered as base space of general relativistic viscous fluid spacetime. It plays significant role in general relativity. Warped product arose due to surface’s revolution. Exact solutions of Einstein’s field equations are warped products. So it is essential to study Einstein’s field equation, space-matter tensor, warped product on \((HGQE)_{n}\).
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The first author is supported by UGC JRF of India 1216/(CSIR-UGC NET DEC. 2016)
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Bhunia, N., Pahan, S. & Bhattacharyya, A. Application of Hyper-generalized Quasi-Einstein Spacetimes in General Relativity. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 91, 297–307 (2021). https://doi.org/10.1007/s40010-020-00706-9
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DOI: https://doi.org/10.1007/s40010-020-00706-9
Keywords
- Einstein manifold
- Hyper-generalized quasi-Einstein manifold
- Warped product space
- Einstein’s field equation
- Energy–momentum tensor
- General relativistic viscous fluid