6533b872fe1ef96bd12d3119
RESEARCH PRODUCT
Brane-world and loop cosmology from a gravity–matter coupling perspective
Diego Rubiera-garciaGonzalo J. OlmoGonzalo J. Olmosubject
High Energy Physics - TheoryModified gravityNuclear and High Energy Physicsf(R) theoriesFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Palatini formalismGeneral Relativity and Quantum CosmologyCosmologyGeneral Relativity and Quantum Cosmologysymbols.namesakeQuadratic equationGravity–matter couplingLoop quantum cosmologyMathematical physicsPhysicsReconstruction algorithmlcsh:QC1-999High Energy Physics - Theory (hep-th)Quadratic cosmologysymbolsf(R) gravityBranelcsh:PhysicsLagrangianScalar curvaturedescription
We show that the effective brane-world and the loop quantum cosmology background expansion histories can be reproduced from a modified gravity perspective in terms of an $f(R)$ gravity action plus a $g(R)$ term non-minimally coupled with the matter Lagrangian. The reconstruction algorithm that we provide depends on a free function of the matter density that must be specified in each case and allows to obtain analytical solutions always. In the simplest cases, the function $f(R)$ is quadratic in the Ricci scalar, $R$, whereas $g(R)$ is linear. Our approach is compared with recent results in the literature. We show that working in the Palatini formalism there is no need to impose any constraint that keeps the equations second-order, which is a key requirement for the successful implementation of the reconstruction algorithm.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 | Physics Letters B |