Constraining the Rastall parameters in static spacetimes with galaxy-scale strong gravitational lensing

Abstract

Recently, Rastall gravity is undergoing a significant surge in popularity. We obtain a power-law total mass-density profile for the inner region (within several effective radius) of early-type galaxies (ETGs) from the space-time structures which are described by the static spherically-symmetric solutions of Rastall gravity under the assumption of perfect fluid matter. We find that in the inner region of ETGs, the Rastall dimensionless parameter $\beta =\kappa \lambda$ determines the mass distribution. We then use 118 galaxy-galaxy strong gravitational lensing systems to constrain the Rastall dimensionless parameter $\beta$. We find that the mean value of $\beta$ for total 118 ETGs is $\beta =0.163\pm 0.001$(68\% CL) with a minor intrinsic scatter of $\delta =0.020\pm 0.001$. Our work observationally illustrates the physical meaning of the Rastall dimensionless parameter in galaxy scale. From the Newtonian approximation of Rastall gravity, we also find that an absolute isothermal mass distribution for ETGs is not allowed in the framework of Rastall gravity.

6 pages, 1 figure. Accepted by MNRAS

References in corpus (9)

• The Structure & Dynamics of Massive Early-type Galaxies: On Homology, Isothermality and Isotropy inside one Effective Radius
• Einstein and Rastall Theories of Gravitation in Comparison
• Accelerated cosmos in a non-extensive setup
• The SL2S Galaxy-scale Lens Sample. II. Cosmic evolution of dark and luminous mass in early-type galaxies
• The BOSS Emission-Line Lens Survey. IV. : Smooth Lens Models for the BELLS GALLERY Sample
• Perfect Fluid Dark Matter
• Revisiting perfect fluid dark matter: Observational constraints from our galaxy
• Modeling galactic halos with predominantly quintessential matter
• Rastall's gravity equations and Mach's Principle

Cited by in corpus (7)

• Thin-shell wormholes in Rastall gravity
• Impact of Rastall gravity on mass, radius and sound speed of the pulsar PSR J0740+6620
• Quadratic Rastall Gravity: from low-mass HESS J1731-347 to high-mass PSR J0952-0607 pulsars
• Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
• Cosmological fluids in the equivalence between Rastall and Einstein gravity
• Thick brane in Rastall gravity
• Non-minimal coupling inspires the Dirac cosmological model