On analytical solutions of f(R) modified gravity theories in FLRW cosmologies (CROSBI ID 192163)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Domazet, Silvije ; Radovanović, Voja ; Simonović, Marko ; Štefančić, Hrvoje
engleski
On analytical solutions of f(R) modified gravity theories in FLRW cosmologies
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.
modified gravity ; f(R) theories ; analytical solutions
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Podaci o izdanju
22
2013.
1350006
18
objavljeno
0218-2718
1793-6594
10.1142/S0218271813500065