Transitioning Scenario of Bianchi-I Universe Within f (R,T) Formalism View Full Text


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Article Info

DATE

2019-04

AUTHORS

Anil Kumar Yadav

ABSTRACT

In this paper, we report the existence of transitioning scenario of Bianchi type I universe in the context of f (R,T) gravity with special case f (R,T) = f1(R) + f2(R)f3(T) and its functional forms f1(R) = f2(R) = R and f3(T) = αT with α being constant. The exact solution of the Einstein’s field equations is derived by using the generalized hybrid expansion law that yields the model of transitioning universe from early deceleration phase to current acceleration phase. Under this specification, we obtain the singular as well as non singular solution of Bianchi type I model depending upon the particular choice of the value of problem parameters. We also notice that the validation of weak energy condition and dominant energy condition and violation of strong energy condition occurs for these values of problem parameters. The deceleration parameter is found to be negative at present (z = 0) in the derived model which is supported by recent observations. More... »

PAGES

262-270

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s13538-018-00632-7

DOI

http://dx.doi.org/10.1007/s13538-018-00632-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111617077


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48 schema:description In this paper, we report the existence of transitioning scenario of Bianchi type I universe in the context of f (R,T) gravity with special case f (R,T) = f1(R) + f2(R)f3(T) and its functional forms f1(R) = f2(R) = R and f3(T) = αT with α being constant. The exact solution of the Einstein’s field equations is derived by using the generalized hybrid expansion law that yields the model of transitioning universe from early deceleration phase to current acceleration phase. Under this specification, we obtain the singular as well as non singular solution of Bianchi type I model depending upon the particular choice of the value of problem parameters. We also notice that the validation of weak energy condition and dominant energy condition and violation of strong energy condition occurs for these values of problem parameters. The deceleration parameter is found to be negative at present (z = 0) in the derived model which is supported by recent observations.
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