Combined Rastall and Rainbow theories of gravity with applications to neutron stars

Abstract

The possibility of modifications on general relativity is investigated. We propose an alternative theory of gravity constructed with the combination of Rastall and Rainbow theories. The hydrostatic equilibrium equations are obtained in order to test the new theory in neutron stars, whose mass-radius diagrams are obtained using modern equations of state of nuclear matter derived from relativistic mean field models and compared with the ones computed by the Tolman-Oppenheimer-Volkoff equations. We conclude that substantial modifications are obtained even for very small alterations on the two free parameters, making the reproduction of astrophysical observations an easy task.

References in corpus (55)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Modified Gravity and Cosmology
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• The Confrontation between General Relativity and Experiment
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Masses, Radii, and Equation of State of Neutron Stars
• Lorentz invariance with an invariant energy scale
• Tests of general relativity from timing the double pulsar
• Extra force in $f(R)$ modified theories of gravity
• An increased estimate of the merger rate of double neutron stars from observations of a highly relativistic system
• A Double-Pulsar System - A Rare Laboratory for Relativistic Gravity and Plasma Physics
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Testable scenario for Relativity with minimum-length
• Constraining the Maximum Mass of Neutron Stars From Multi-Messenger Observations of GW170817
• Using gravitational-wave observations and quasi-universal relations to constrain the maximum mass of neutron stars
• Generalized Lorentz invariance with an invariant energy scale
• Skyrme Interaction and Nuclear Matter Constraints
• Gravity's Rainbow
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Modeling GW170817 based on numerical relativity and its implications
• Neutron skins and neutron stars in the multi-messenger era
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Hyperons and massive neutron stars: the role of hyperon potentials
• GW170817: constraining the nuclear matter equation of state from the neutron star tidal deformability
• A quark-meson model for nuclear and neutron matter
• Constraining the Mass and Radius of Neutron Stars in Globular Clusters
• Deformed Boost Transformations That Saturate at the Planck Scale
• Equivalence Principle Implications of Modified Gravity Models
• Observer-independent quanta of mass and length
• Improved Mass and Radius Constraints for Quiescent Neutron Stars in Omega Cen and NGC 6397
• Neutron Stars in Rastall Gravity
• Chandra Exposes the Core Collapsed Globular Cluster NGC 6397
• Quark deconfinement in high-mass neutron stars
• Nonsingular Rainbow Universes
• Violation of the Equivalence Principle in Modified Theories of Gravity
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• Modified TOV in gravity's rainbow: properties of neutron stars and dynamical stability conditions
• Neutron star properties in the quark-meson coupling model
• Equation of state for neutron stars in SU(3) flavor symmetry
• Stellar properties and nuclear matter constraints
• Quark stars within relativistic models
• Consistent relativistic mean field models constrained by GW170817
• Hybrid stars in the quark-meson coupling model with superconducting quark matter
• Neutron Star Radius Measurement with the Quiescent Low-Mass X-ray Binary U24 in NGC 6397
• Composite nucleons in scalar and vector mean-fields
• More on the initial singularity problem in gravity's rainbow cosmology
• Compact stars within an asy-soft quark-meson-coupling model
• Hyperon threshold and stellar radii
• Pasta phases within the QMC model

Cited by in corpus (19)

• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• Broken SU(6) symmetry and massive hybrid stars
• A Neutron Star is born
• Thermal analysis of photon-like particles in rainbow gravity
• Generalized Rastall's gravity and its effects on compact objects
• Rainbow gravity corrections to the information flux of a black hole and the sparsity of Hawking radiation
• Gravitational Wave Signatures of Highly Magnetized Neutron Stars
• Quantum dynamics of scalar particles in the space-time of a cosmic string in the context of gravity's rainbow
• Stable three-dimensional (un)charged AdS gravastars in gravity's rainbow
• Rapidly rotating compact stars in Rastall's gravity
• Study on anisotropic strange stars in $f(\mathbb{T},\mathcal{T})$ gravity
• Gravitational Collapse for the K-essence Emergent Vaidya Spacetime
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Electrostatic self-interaction of charged particles in the space-time of a cosmic string in the context of gravity's rainbow
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Neutron Star in Quantized-space-time
• Thermodynamic analysis of a compact object in Rastall-Rainbow gravity
• Modeling Gravastar Structure admitting Kuchowicz Spacetime in Rastall Gravity Theory
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities