Generalized Mattig's relation in Brans-Dicke-Rastall gravity

Abstract

The Geodesic Deviation Equation is being studied in Brans-Dicke-Rastall gravity. We briefly discuss the Brans-Dicke-Rastall gravity and then construct GDE for FLRW metric. In this way, the obtained geodesic deviation equation will correspond to the Brans-Dicke-Rastall gravity. Eventually, we solve numerically the null vector GDE to obtain from Mattig relation, the deviation vector $\eta (z)$ and observer area distance $r_0(z)$ and compare the results with $\Lambda$CDM model.

arXiv comment20 pages, 4 figures

References in corpus (29)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Relativistic gravitation theory for the MOND paradigm
• Supernova Limits on the Cosmic Equation of State
• Lepton-Flavor Violation via Right-Handed Neutrino Yukawa Couplings in Supersymmetric Standard Model
• Interferometric detection of gravitational waves: the definitive test for General Relativity
• Nonsymmetric Gravitational Theory
• Holographic dark energy in Brans-Dicke cosmology with chameleon scalar field
• Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Note on the Evolution of the Gravitational Potential in Rastall Scalar Field Theories
• Interacting HDE and NADE in Brans-Dicke Chameleon Cosmology
• Holographic Dark Energy in Brans-Dicke Theory
• The Brans-Dicke-Rastall theory
• Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Scalar-Tensor Cosmological Models
• Scalar-tensor black holes coupled to Euler-Heisenberg nonlinear electrodynamics
• Kinematics and Dynamics of $f(R)$ Theories of Gravity
• The roots of scalar-tensor theory: an approximate history
• Geodesic Deviation Equation in $f(T)$ gravity
• Scalar models for the generalized Chaplygin gas and the structure formation constraints
• Geodesic Congruences in the Palatini f(R) Theory
• Equations of State in the Brans-Dicke cosmology
• Deviation of geodesics in FLRW spacetime geometries
• Inflationary Brans-Dicke Quantum Universe
• Geodesic Deviation Equation in f(R) Gravity
• On tidal forces in f(R) theories of gravity
• Geodesic Deviation Equation in Bianchi Cosmologies
• Gauss-Codazzi Formalism to Braneworld Scenario within Brans-Dicke Theory

Cited by in corpus (13)

• Black Hole Solutions Surrounded by Perfect Fluid in Rastall Theory
• Rotating black hole in Rastall theory
• Black Hole Solutions in Rastall Theory
• A connection between Rastall-type and f(R, T) gravities
• Emergent cosmic space in Rastall theory
• Neutral regular black hole solution in generalized Rastall gravity
• The commutator algebra of covariant derivative as general framework for extended gravity. The Rastall theory case and the role of the torsion
• Structure Formation in Generalized Rastall Gravity
• Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity
• Cosmological implications of Rastall-$f(R)$ theory
• Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Charged analog of anisotropic dark energy star in Rastall gravity