Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes

Abstract

In this work, we analyse static spherically symmetric solutions in the framework of mimetic gravity, an extension of general relativity where the conformal degree of freedom of gravity is isolated in a covariant fashion. Here we extend previous works by considering in addition a potential for the mimetic field. An appropriate choice of such potential allows for the reconstruction of a number of interesting cosmological and astrophysical scenarios. We explicitly show how to reconstruct such a potential for a general static spherically symmetric space-time. A number of applications and scenarios are then explored, among which traversable wormholes. Finally, we analytically reconstruct potentials which leads to solutions to the equations of motion featuring polynomial corrections to the Schwarzschild spacetime. Accurate choices for such corrections could provide an explanation for the inferred flat rotation curves of spiral galaxies within the mimetic gravity framework, without the need for particle dark matter.

Version accepted for publication in Class. Quant. Grav

References in corpus (24)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Wormhole geometries in f(R) modified theories of gravity
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Inflation in $f(R,\varphi )$-theories and mimetic gravity scenario
• Impact of a global quadratic potential on galactic rotation curves
• Dark energy from modified gravity with Lagrange multipliers
• Derivative-dependent metric transformation and physical degrees of freedom
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Wormhole throats in $R^m$ gravity
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity
• How unimodular gravity theories differ from general relativity at quantum level
• Cosmological perturbations in mimetic matter model
• New Modified Mimetic Gravity
• Hamiltonian Formulation of Mimetic Gravity
• Spherically symmetric static vacuum solutions in Mimetic gravity
• Covariant power-counting renormalizable gravity: Lorentz symmetry breaking and accelerating early-time FRW universe
• Variations on an aethereal theme
• Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity
• $R^n$ gravity is kicking and alive: the cases of Orion and NGC 3198
• On the rotation curves for axially symmetric disk solutions of the Vlasov-Poisson system
• Higher derivative gravity with spontaneous symmetry breaking: Hamiltonian analysis of new covariant renormalizable gravity

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