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On analytical solutions of f(R) modified gravity theories in FLRW cosmologies

Domazet, Silvije; Radovanović, Voja; Simonović, Marko; Štefančić, Hrvoje (2013) On analytical solutions of f(R) modified gravity theories in FLRW cosmologies. International Journal of Modern Physics D, 22 (2). pp. 1350006-1. ISSN 0218-2718

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A novel analytical method for f(R) modified theories without matter in Friedmann–Lemaitre–Robertson–Walker (FLRW) spacetimes is introduced. The equation of motion for the scale factor in terms of cosmic time is reduced to the equation for the evolution of the Ricci scalar R with the Hubble parameter H. The solution of equation of motion for actions of the form of power law in Ricci scalar R is presented with a detailed elaboration of the action quadratic in R. The reverse use of the introduced method is exemplified in finding functional forms f(R), which leads to specified scale factor functions. The analytical solutions are corroborated by numerical calculations with excellent agreement. Possible further applications to the phases of inflationary expansion and late-time acceleration as well as f(R) theories with radiation are outlined.

Item Type: Article
Uncontrolled Keywords: modified gravity; f(R) theories; analytical solutions
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Fundamentalne interakcije u fizici elementarnih čestica i kozmologiji[3635] Nevenko Bilić098-0982930-2864MZOS
Depositing User: Silvije Domazet
Date Deposited: 24 Apr 2015 12:13
DOI: 10.1142/S0218271813500065

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