The luminosity-redshift relation in brane-worlds: I. Analytical results

Abstract

The luminosity distance - redshift relation is analytically given for generalized Randall-Sundrum type II brane-world models containing dark radiation. The derived expressions contain both elementary functions and elliptic integrals of the first and second kind. First we derive the relation for models with the Randall-Sundrum fine-tuning. Then we generalize the method for models with cosmological constant. The analytical results are suitable for testing brane-world models when future supernova data at higher redshifts will be available.

v2: Improved discussion and new references; analytical results kept, comparison with observation moved to astro-ph/0702610, 18 pages, 2 figures v3: Minor improvements, few new references. Version to appear in the initial issue of PMC Physics A

References in corpus (54)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Cosmological parameters from SDSS and WMAP
• 4D Gravity on a Brane in 5D Minkowski Space
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Relativistic gravitation theory for the MOND paradigm
• The Einstein Equations on the 3-Brane World
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Brane cosmological evolution in a bulk with cosmological constant
• Brane-World Gravity
• Brane-world gravity
• Braneworld models of dark energy
• Chaotic inflation on the brane
• Alternatives to Dark Matter and Dark Energy
• New Experimental Limits on Macroscopic Forces Below 100 Microns
• Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
• Stars in the braneworld
• More on ghosts in DGP model
• Cosmological constraints on f(R) gravity theories within the Palatini approach
• DGP Specteroscopy
• Can the galactic rotation curves be explained in brane world models?
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Are there ghosts in the self-accelerating brane universe?
• Effective Gravitational Equations on Brane World with Induced Gravity
• Gravitational collapse on the brane: a no-go theorem
• Constraining Inverse Curvature Gravity with Supernovae
• Problems for MOND in Clusters and the Ly-alpha Forest
• Observational constraints on phantom-like braneworld cosmologies
• Phantom Friedmann Cosmologies and Higher-Order Characteristics of Expansion
• The virial theorem and the dynamics of clusters of galaxies in the brane world models
• Collapsing sphere on the brane radiates
• Large Scale Structure in the SDSS Galaxy Survey
• Large Scale Structure in the SDSS DR1 Galaxy Survey
• Generalized Friedmann branes
• Gravitational collapse of null fluid on the brane
• Galactic metric, dark radiation, dark pressure and gravitational lensing in brane world models
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data
• Unexorcized ghost in DGP brane world
• Confrontation of MOND Predictions with WMAP First Year Data
• Gravitational collapse and black hole evolution: do holographic black holes eventually "anti-evaporate"?
• Can extra dimensional effects replace dark matter ?
• Asymmetric brane-worlds with induced gravity
• Black holes and dark energy from gravitational collapse on the brane
• Braneworld gravitational collapse from a radiative bulk
• Did Boomerang hit MOND?
• Structure formation on the brane: A mimicry
• Testing MOND with Local Group spiral galaxies
• Observational Bounds on Modified Gravity Models
• Irradiated asymmetric Friedmann branes
• Modeling the formation of galaxy clusters in MOND
• A review on success and problem of MOND on globular cluster scale
• The Draco dwarf in CDM and MOND

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