Seventeenth Marcel Grossmann Meeting

Raychaudhuri equation invariance in the presence of inflation-type fields

8 Jul 2024, 15:00

30m

M5 (Palazzo Micara of the ‘Gabriele d’Annunzio’ University)

Invited talk in a parallel session Inflation: perturbations, initial singularities and emergent universes Inflation: perturbations, initial singularities and emergent universes

Speaker

Dr GOUTAM MANNA (Prabhat Kumar College, Contai)

Description

We demonstrate that the Raychaudhuri equation remains unchanged for certain solutions of scalar fields $\varphi$ that have a non-canonical Lagrangian of the form $\mathcal{L}(X,\varphi )=-V(\varphi )F(X)$, with $X=\frac{1}{2}{g}_{\mu \nu }{\mathrm{\nabla }}^{\mu }\varphi {\mathrm{\nabla }}^{\nu }\varphi$ and $V(\varphi )$ represents the potential. There are several solutions available for both homogeneous and inhomogeneous fields, which are reminiscent of inflation scenarios. Further, the existence of primordial inhomogeneities is provided by the quantum fluctuations that may exhibited by these inflaton-type solutions.

Presentation materials

Goutam_Manna_MG17_Pescara_Italy_Invited_Talk_8th_July_2024_3pm.pdf

Proceedings

Paper

MG17_RE_Invariance_Proceedings.pdf