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Article

Certain Restrictions of Energy–Momentum Tensor in Bulk Viscous Fluid String Spacetimes

by
Sunil Kumar Yadav
1,
Uday Chand De
2 and
Mohammad Nazrul Islam Khan
3,*
1
Department of Applied Science and Humanities, United College of Engineering & Research, UPSIDC, Industrial Area, Naini, Prayagraj 211010, Uttar Predesh, India
2
Department of Pure Mathematics, University of Calcutta, 35 Ballygaunge Circular Road, Kolkata 700019, West Bengal, India
3
Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia
*
Author to whom correspondence should be addressed.
Axioms 2026, 15(6), 461; https://doi.org/10.3390/axioms15060461 (registering DOI)
Submission received: 5 April 2026 / Revised: 13 June 2026 / Accepted: 17 June 2026 / Published: 19 June 2026
(This article belongs to the Section Mathematical Physics)

Abstract

The aim of this paper is to characterize a relativistic bulk viscous fluid string spacetime whose energy–momentum tensor satisfying certain geometric symmetries. At first, it is shown that a relativistic bulk viscous fluid string spacetime is a generalized quasi-Einstein manifold. Then, we characterize such a spacetime, satisfying Codazzi type of energy–momentum tensor (denoted by T), covariant constant T, recurrent and generalized recurrent T, and almost pseudo-symmetric and weakly symmetric T, respectively. Next, we consider quadratic Killing T in such a spacetime. Finally, we provide a concrete example using partial differential equations.
Keywords: relativistic bulk viscous fluid string spacetime; energy–momentum tensor; T⊘-recurrent; differential equations; weakly T⊘-recurrent; generalized T⊘-recurrent and quadratic-Killing-type EMT relativistic bulk viscous fluid string spacetime; energy–momentum tensor; T⊘-recurrent; differential equations; weakly T⊘-recurrent; generalized T⊘-recurrent and quadratic-Killing-type EMT

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MDPI and ACS Style

Yadav, S.K.; De, U.C.; Khan, M.N.I. Certain Restrictions of Energy–Momentum Tensor in Bulk Viscous Fluid String Spacetimes. Axioms 2026, 15, 461. https://doi.org/10.3390/axioms15060461

AMA Style

Yadav SK, De UC, Khan MNI. Certain Restrictions of Energy–Momentum Tensor in Bulk Viscous Fluid String Spacetimes. Axioms. 2026; 15(6):461. https://doi.org/10.3390/axioms15060461

Chicago/Turabian Style

Yadav, Sunil Kumar, Uday Chand De, and Mohammad Nazrul Islam Khan. 2026. "Certain Restrictions of Energy–Momentum Tensor in Bulk Viscous Fluid String Spacetimes" Axioms 15, no. 6: 461. https://doi.org/10.3390/axioms15060461

APA Style

Yadav, S. K., De, U. C., & Khan, M. N. I. (2026). Certain Restrictions of Energy–Momentum Tensor in Bulk Viscous Fluid String Spacetimes. Axioms, 15(6), 461. https://doi.org/10.3390/axioms15060461

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