Effect of inhomogeneities on the luminosity distance-redshift relation: Is dark energy necessary in a perturbed universe?

  title={Effect of inhomogeneities on the luminosity distance-redshift relation: Is dark energy necessary in a perturbed universe?},
  author={E. Barausse and S. Matarrese and A. Riotto},
  journal={Physical Review D},
The luminosity distance-redshift relation is one of the fundamental tools of modern cosmology. We compute the luminosity distance-redshift relation in a perturbed flat matter-dominated Universe, taking into account the presence of cosmological inhomogeneities up to second order in perturbation theory. Cosmological observations implementing the luminosity distance-redshift relation tell us that the Universe is presently undergoing a phase of accelerated expansion. This seems to call for a… Expand

Figures from this paper

The luminosity distance–redshift relation up to second order in the Poisson gauge with anisotropic stress
We present the generalization of previously published results, about the perturbed redshift and the luminosity–redshift relation up to second order in perturbation theory, for the case of the PoissonExpand
Systematic corrections to the measured cosmological constant as a result of local inhomogeneity
We explicitly calculate the lowest order systematic inhomogeneity-induced corrections to the cosmological constant that one would infer from an analysis of the luminosities and redshifts of type IaExpand
Fluctuations of the luminosity distance
We derive an expression for the luminosity distance in a perturbed Friedmann universe. We define the correlation function and the power spectrum of the luminosity distance fluctuations and expressExpand
The magnitude-redshift relation in a realistic inhomogeneous universe
The light rays from a source are subject to a local inhomogeneous geometry generated by inhomogeneous matter distribution as well as the existence of collapsed objects. In this paper we investigateExpand
Correlation function of the luminosity distances
We present the correlation function of the luminosity distances in a flat ΛCDM universe. Decomposing the luminosity distance fluctuation into the velocity, the gravitational potential, and theExpand
The second-order luminosity-redshift relation in a generic inhomogeneous cosmology
After recalling a general non-perturbative expression for the luminosity-redshift relation holding in a recently proposed ``geodesic light-cone" gauge, we show how it can be transformed toExpand
Maximum cosmological information from type Ia supernova observations
Type-Ia supernova observations yield estimates of the luminosity distance, which includes not only the background luminosity distance, but also the fluctuation due to inhomogeneities in the Universe.Expand
On cosmic acceleration without dark energy
We elaborate on the proposal that the observed acceleration of the Universe is the result of the backreaction of cosmological perturbations, rather than the effect of a negative-pressure dark-energyExpand
Inhomogeneous alternative to dark energy
Recently, there have been suggestions that the apparent accelerated expansion of the universe is not caused by repulsive gravitation due to dark energy, but is rather a result of inhomogeneities inExpand
Backreaction on the luminosity-redshift relation from gauge invariant light-cone averaging
Using a recently proposed gauge invariant formulation of light-cone averaging, together with adapted ``geodesic light-cone" coordinates, we show how an ``induced backreaction" effect emerges, inExpand


The luminosity distance in perturbed FLRW space-times
We derive an expression for the luminosity distance in Friedman-Lemaitre-Robertson-Walker space-times affected by scalar perturbations. Our expression is complete to linear order and is expressedExpand
Light propagation and the distance-redshift relation in a realistic inhomogeneous universe.
The propagation of light rays in a clumpy universe constructed by cosmological version of the post-Newtonian approximation was investigated. It is shown that linear approximation to the propagationExpand
Effect of inhomogeneities on the expansion rate of the universe
While the expansion rate of a homogeneous isotropic universe is simply proportional to the square-root of the energy density, the expansion rate of an inhomogeneous universe also depends on theExpand
The Cosmological Constant and Dark Energy
Physics invites the idea that space contains energy whose gravitational effect approximates that of Einstein's cosmological constant, Lambda: nowadays the concept is termed dark energy orExpand
Back reaction and local cosmological expansion rate
We calculate the back reaction of cosmological perturbations on a general relativistic variable which measures the local expansion rate of the Universe. Specifically, we consider a cosmological modelExpand
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
We present spectral and photometric observations of 10 Type Ia supernovae (SNe Ia) in the redshift range 0.16 " z " 0.62. The luminosity distances of these objects are determined by methods thatExpand
Cosmic microwave background anisotropies from second order gravitational perturbations
This paper presents a complete analysis of the effects of second order gravitational perturbations on cosmic microwave background anisotropies, taking explicitly into account scalar, vector andExpand
Particle physics models of inflation and the cosmological density perturbation
This is a review of particle-theory models of inflation, and of their predictions for the primordial density perturbation that is thought to be the origin of structure in the Universe. It containsExpand
Higher-order gravitational perturbations of the cosmic microwave background.
  • Pyne, Carroll
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1996
It is found that second-order terms of potential observational interest may be interpreted as transverse and longitudinal lensing by foreground density perturbations, and a correction to the integrated Sachs-Wolfe effect. Expand
Non-Gaussianity from inflation: theory and observations
This is a review of models of inflation and of their predictions for the primordial non-Gaussianity in the density perturbations which are thought to be at the origin of structures in the Universe.Expand