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Beesham A, Reconstruction of modified Gauss–Bonnet gravity.pdf (198.41 kB)

Reconstruction of modified Gauss–Bonnet gravity for emergent universe

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posted on 2023-02-21, 10:08 authored by B. C. Paul, S. D. Maharaj., A. Beesham

We present a flat emergent universe model in modified Gauss–Bonnet gravity in four dimensions. The emergent universe model is free from a big-bang singularity and also describes the observed universe fairly well. It is assumed that the present universe emerged from a static Einstein universe phase that exists in the infinite past. To obtain the flat emergent universe model, we reconstruct mimetic modified f(G)-gravity (G representing Gauss–Bonnet terms). The functional form of f(G)-gravity is determined with or without matter, and can accommodate the early inflation and late accelerating phases satisfactorily. In contrast, in Einstein’s general theory of relativity, a flat emergent universe was obtained within the modified matter sector.

Funding

BCP would like to acknowledge support for a visit to the University of Zululand, South Africa and University of Kwa-Zulu Natal, South Africa where the work has been initiated. BCP would like to thank IUCAA Pune, India for warm hospitality and DST-SERB for supporting project (EMR/2016/005734). AB acknowledges that this work is based on research supported wholly/in part by the National Research Foundation of South Africa (Grant No. 118511).

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