Cosmography of f(R)-brane cosmology

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.103526· OSTI ID:21503611

Bouhmadi-Lopez, Mariam ^[1]; Capozziello, Salvatore ^[2]; Cardone, Vincenzo F ^[2]

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1. Centro Multidisciplinar de Astrofisica - CENTRA, Departamento de Fisica, Instituto Superior Tecnico, Avenida Rovisco Pais 1, 1049-001 Lisboa (Portugal)
2. Dipartimento di Scienze Fisiche, Universita di Napoli 'Federico II', Complesso Universitario Monte S. Angelo, Edificio N, Via Cinthia, I-80126 Napoli (Italy)

Cosmography is a useful tool to constrain cosmological models, in particular, dark energy models. In the case of modified theories of gravity, where the equations of motion are generally quite complicated, cosmography can contribute to select realistic models without imposing arbitrary choices a priori. Indeed, its reliability is based on the assumptions that the universe is homogeneous and isotropic on large scale and luminosity distance can be ''tracked'' by the derivative series of the scale factor a(t). We apply this approach to induced gravity brane-world models where an f(R) term is present in the brane effective action. The virtue of the model is to self-accelerate the normal and healthy Dvali-Gabadadze-Porrati branch once the f(R) term deviates from the Hilbert-Einstein action. We show that the model, coming from a fundamental theory, is consistent with the {Lambda}CDM scenario at low redshift. We finally estimate the cosmographic parameters fitting the Union2 Type Ia Supernovae data set and the distance priors from baryon acoustic oscillations and then provide constraints on the present day values of f(R) and its second and third derivatives.

• OSTI ID: 21503611
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 10; Other Information: DOI: 10.1103/PhysRevD.82.103526; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
BARYONS
COSMOLOGICAL MODELS
EQUATIONS OF MOTION
GRAVITATION
LUMINOSITY
M-THEORY
NONLUMINOUS MATTER
OSCILLATIONS
RED SHIFT
RELIABILITY
SUPERNOVAE
UNIVERSE
BINARY STARS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
ERUPTIVE VARIABLE STARS
FERMIONS
HADRONS
INTEGRALS
MATHEMATICAL MODELS
MATTER
OPTICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
STARS
VARIABLE STARS