Relativistic spacetimes admitting almost Schouten solitons
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De, Uday Chand
[1
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Sardar, Arpan
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Univ Kalyani, Dept Math, Nadia 741235, W Bengal, IndiaUniv Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India
Sardar, Arpan
[2
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Mofarreh, Fatemah
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Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, Riyadh 11546, Saudi ArabiaUniv Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India
Mofarreh, Fatemah
[3
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机构:
[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India
[2] Univ Kalyani, Dept Math, Nadia 741235, W Bengal, India
[3] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, Riyadh 11546, Saudi Arabia
In this paper, we investigate almost Schouten solitons and almost gradient Schouten solitons in spacetimes of general relativity. At first, it is proven that if a generalized Robertson-Walker spacetime permits an almost Schouten soliton, then it becomes a perfect fluid spacetime as well as the spacetime represents a dark matter era. Besides this, we investigate almost gradient Schouten solitons in generalized Robertson-Walker spacetimes. Moreover, a spacetime obeying almost Schouten solitons whose potential vector field is a non-homothetic conformal vector field is of Petrov type O or N.
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Univ Burdwan, Kabi Sukanta Mahavidyalaya, Dept Math, PO Angus, Hooghly 712221, W Bengal, IndiaUniv Burdwan, Kabi Sukanta Mahavidyalaya, Dept Math, PO Angus, Hooghly 712221, W Bengal, India