Cosmological Model Independent Time Delay Method

Abstract

We propose a Cosmological Model Independent Time Delay (CMITD) method where the Lorentz invariance violation (LIV) variable $K(z)$ is constructed by observational data instead of cosmological model. The simulated time delay data show the CMITD method could present the validity of LIV test. And, the errors in the propagating process is critical for the existence and magnitude of LIV.

arXiv comment3 figures

References in corpus (33)

• Planck 2015 results. XIII. Cosmological parameters
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Quantum Gravity at a Lifshitz Point
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Lorentz invariance with an invariant energy scale
• Modern tests of Lorentz invariance
• Testable scenario for Relativity with minimum-length
• Membranes at Quantum Criticality
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• Tests of Lorentz invariance: a 2013 update
• Reconstruction of dark energy and expansion dynamics using Gaussian processes
• Doubly Special Relativity
• Planck-scale deformation of Lorentz symmetry as a solution to the UHECR and the TeV-$\gamma$ paradoxes
• Fractal universe and quantum gravity
• Constraints on Lorentz Invariance Violation from Fermi-Large Area Telescope Observations of Gamma-Ray Bursts
• Lorentz-violation-induced arrival delays of cosmological particles
• Robust Limits on Lorentz Violation from Gamma-Ray Bursts
• Quantum-Gravity Analysis of Gamma-Ray Bursts using Wavelets
• Geometry and field theory in multi-fractional spacetime
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• Gravitational Radiation in Horava Gravity
• Modified dispersion relations in extra dimensions
• Probes of Lorentz Violation
• Modified Dispersion Relations in Horava-Lifshitz Gravity and Finsler Brane Models
• Constraining Lorentz violations with Gamma Ray Bursts
• Model-Independent Constraints on Lorentz Invariance Violation via the Cosmographic Approach
• A Significant Problem With Using the Amati Relation for Cosmological Purposes
• Redshift and lateshift from homogeneous and isotropic modified dispersion relations
• Constraints on Lorentz Invariance Violation with gamma-ray bursts via a Markov Chain Monte Carlo approach
• Lorentz violations in multifractal spacetimes
• Gamma Ray Bursts as Probes of Quantum Gravity
• Fundamental Physics With Cosmic High-Energy Gamma Rays
• GRB 010921: Discovery of the First HETE Afterglow

Cited by in corpus (4)

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