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General Relativity and Quantum Cosmology

Title: Invariant nature of Raychaudhuri equation in the presence of Inflaton fields

Abstract: We show that the Raychaudhuri equation remains invariant for certain solutions of scalar fields $\phi$ whose Lagrangian is non-canonical and of the form $\mathcal{L}(X,\phi)=-V(\phi)F(X)$, with $X=\frac{1}{2} g_{\mu\nu} \nabla^{\mu}\phi \nabla^{\nu} \phi$, $V(\phi)$ the potential. Solutions exist for both homogeneous and inhomogeneous fields and are reminiscent of inflaton scenarios.
Comments: 5 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2404.11632 [gr-qc]
  (or arXiv:2404.11632v1 [gr-qc] for this version)

Submission history

From: Dr. Goutam Manna [view email]
[v1] Wed, 17 Apr 2024 09:32:23 GMT (58kb)

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