Noncommutative wormhole in de Rham-Gabadadze-Tolley like massive gravity

Abstract

The wormhole solution in dRGT massive gravity is examined in this paper in the background of non-commutative geometry. In order to derive the wormhole model, along with the zero tidal force, we assume that the matter distribution is given by the Gaussian and Lorentzian distributions. The shape function in both models involves the massive gravity parameters m2c1 and m2c2. But the spacetime loses its asymptotic flatness due to the action of the massive gravity parameter. It is noticed that the asymptotic flatness is affected by the repulsive effect induced in the massive gravitons that push the spacetime geometry very strongly. We observed that each model violates the null energy criteria, indicating the presence of exotic matter which is necessary to sustain the wormholes. The exotic matter is measured using the volume integral quantifier. Moreover, it is discovered that the model is stable under the hydrostatic equilibrium condition by utilizing the TOV equation. Finally, our research encompassed an exploration of the repulsive influence exerted by gravity. Our findings demonstrated that the presence of repulsive gravity results in a negative deflection angle for photons following null geodesics. Remarkably, we consistently observed negative values for the deflection angle across all values of r0 in the two scenarios examined. This consistent negativity unequivocally signifies the manifestation of the repulsive gravity effect.

16 pages, Accepted in Nuclear Physics B

References in corpus (16)

• Resummation of Massive Gravity
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Wormhole geometries in f(R) modified theories of gravity
• Gravitational Lensing by Rotating Wormholes
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Wormhole solutions in symmetric teleparallel gravity
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Relativistic deflection of background starlight measures the mass of a nearby white dwarf star
• Searching for higher dimensional wormholes with noncommutative geometry
• New asymptotically flat phantom wormhole solutions
• Wormhole inspired by non-commutative geometry
• Weak deflection angle of black-bounce traversable wormholes using Gauss-Bonnet theorem in the dark matter medium
• Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution
• Time-Dependent Wormhole Solutions of $f(R)$ Theory of Gravity and Energy Conditions
• Static and spherically symmetric wormholes in metric-affine theories of gravity