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Raychaudhuri equation and bouncing cosmology

Aug 21, 2023

15 pages

Published in:

Mod.Phys.Lett.A 38 (2023) 28n29, 2350129

Published: Oct 26, 2023

e-Print:

2308.10498 [gr-qc]

DOI:

10.1142/S0217732323501298

View in:

ADS Abstract Service

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Abstract: (WSP)

This work deals with an exhaustive study of bouncing cosmology in the background of homogeneous and isotropic Friedmann–Lemaître–Robertson–Walker spacetime. The geometry of the bouncing point has been studied extensively and used as a tool to classify the models from the point of view of cosmology. Raychaudhuri equation (RE) has been furnished in these models to classify the bouncing point as regular point or singular point. Behavior of time-like geodesic congruence in the neighborhood of the bouncing point has been discussed using the Focusing Theorem which follows as a consequence of the RE. An analogy of the RE with the evolution equation for a linear harmonic oscillator has been made and an oscillatory bouncing model has been discussed in this context.

Note:

15 pages, 9 figures

Bouncing cosmology
Raychaudhuri equation
Focusing Theorem
singularities
04.20.Dw
04.20.−q
98.80.−k
98.80.Bp
oscillator: harmonic
cosmological model: bounce

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