TY - JOUR
T1 - Density perturbations in general modified gravitational theories
AU - De Felice, Antonio
AU - Mukohyama, Shinji
AU - Tsujikawa, Shinji
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/7/26
Y1 - 2010/7/26
N2 - We derive the equations of linear cosmological perturbations for the general Lagrangian density f(R,φ,X)/2+Lc, where R is a Ricci scalar, φ is a scalar field, and X=-∂μφ∂μφ/2 is a field kinetic energy. We take into account a nonlinear self-interaction term Lc=ξ(φ)□φ(∂μφ∂μφ) recently studied in the context of "Galileon" cosmology, which keeps the field equations at second order. Taking into account a scalar-field mass explicitly, the equations of matter density perturbations and gravitational potentials are obtained under a quasistatic approximation on subhorizon scales. We also derive conditions for the avoidance of ghosts and Laplacian instabilities associated with propagation speeds. Our analysis includes most of modified gravity models of dark energy proposed in literature; and thus it is convenient to test the viability of such models from both theoretical and observational points of view.
AB - We derive the equations of linear cosmological perturbations for the general Lagrangian density f(R,φ,X)/2+Lc, where R is a Ricci scalar, φ is a scalar field, and X=-∂μφ∂μφ/2 is a field kinetic energy. We take into account a nonlinear self-interaction term Lc=ξ(φ)□φ(∂μφ∂μφ) recently studied in the context of "Galileon" cosmology, which keeps the field equations at second order. Taking into account a scalar-field mass explicitly, the equations of matter density perturbations and gravitational potentials are obtained under a quasistatic approximation on subhorizon scales. We also derive conditions for the avoidance of ghosts and Laplacian instabilities associated with propagation speeds. Our analysis includes most of modified gravity models of dark energy proposed in literature; and thus it is convenient to test the viability of such models from both theoretical and observational points of view.
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U2 - 10.1103/PhysRevD.82.023524
DO - 10.1103/PhysRevD.82.023524
M3 - Article
AN - SCOPUS:77955608827
VL - 82
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 2
M1 - 023524
ER -