<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi><mml:mi>CDM</mml:mi></mml:math>universe in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>gravity
Peter K. S. DunsbyCentre for Astrophysics, Cosmology and Gravitation, University of Cape Town, Rondebosch, 7701, South AfricaE. ElizaldeInstitut d’Estudis Espacials de Catalunya, ICE (IEEC-CSIC), Campus UAB, Facultat Ciències, Torre C5-Par-2a pl, E-08193 Bellaterra, Barcelona, SpainRituparno GoswamiCentre for Astrophysics, Cosmology and Gravitation, University of Cape Town, Rondebosch, 7701, South AfricaSergei D. OdintsovInstitució Catalana de Recerca i Estudis Avançats, Barcelona, SpainDiego Sáez-Chillón GómezInstitut d’Estudis Espacials de Catalunya, ICE (IEEC-CSIC), Campus UAB, Facultat Ciències, Torre C5-Par-2a pl, E-08193 Bellaterra, Barcelona, Spain
2010lv
ABI
Abstract
Several different explicit reconstructions of $f(R)$ gravity are obtained from the background Friedmann-La\^{\i}matre-Robertson-Walker expansion history. It is shown that the only theory whose Lagrangian is a simple function of the Ricci scalar $R$, that admits an exact $\ensuremath{\Lambda}\mathrm{CDM}$ expansion history, is standard general relativity with a positive cosmological constant and the only way to obtain this behavior of the scale factor for more general functions of $R$ is to add additional degrees of freedom to the matter sector.
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Cited by 80 references