Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?

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dc.creatorFay, S.
dc.creatorNesseris, S.
dc.creatorPerivolaropoulos, L.
dc.date2007-03-01
dc.date2007-07-27
dc.date.accessioned2026-07-07T11:21:48Z
dc.date.available2026-07-07T11:21:48Z
dc.descriptionWe consider f(R) modified gravity theories in the metric variation formalism and attempt to reconstruct the function f(R) by demanding a background LCDM cosmology. In particular we impose the following requirements: a. A background cosmic history H(z) provided by the usual flat LCDM parametrization though the radiation (w_eff=1/3), matter (w_eff=0) and deSitter (w_eff=-1) eras. b. Matter and radiation dominate during the `matter' and `radiation' eras respectively i.e. Ω_m =1 when w_eff=0 and Ω_r=1 when w_eff=1/3. We have found that the cosmological dynamical system constrained to obey the LCDM cosmic history has four critical points in each era which correspondingly lead to four forms of f(R). One of them is the usual general relativistic form f(R)=R-2Λ. The other three forms in each era, reproduce the LCDM cosmic history but they do not satisfy requirement b. stated above. Only one of these forms (different from general relativity) is found to be an attractor of the dynamical cosmological evolution. It has (Ω_DE=1, Ω_r=0, Ω_m=0) throughout the evolution. Its phase space trajectory is numerically obtained.
dc.descriptionMinor Modifications. Accepted in Phys. Rev. D (to appear). 11 revtex pages, 6 figures. The mathematica files with the numerical analysis of the paper can be found at http://leandros.physics.uoi.gr/frlcdm/frlcdm.htm
dc.identifierhttps://arxiv.org/abs/gr-qc/0703006
dc.identifierhttp://arxiv.org/abs/gr-qc/0703006
dc.identifierPhys.Rev.D76:063504,2007
dc.identifierdoi:10.1103/PhysRevD.76.063504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194372
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleCan f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
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