References & Citations
General Relativity and Quantum Cosmology
Title: Invariant nature of Raychaudhuri equation in the presence of Inflaton fields
(Submitted on 17 Apr 2024)
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.
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