Phenomenological signatures of gauge invariant theories of gravity with vectorial nonmetricity

Abstract

In this paper we discuss on the phenomenological footprints of gauge invariant theories of gravity where the gravitational effects are due not only to spacetime curvature, but also to vectorial nonmetricity. We explore the possibility that vectorial nonmetricity and gauge symmetry may survive after $SU(2)\times U(1)$ (electroweak) symmetry breaking, so that these may have impact on the explanation of certain cosmological puzzles, such as the nature of the dark matter and of the dark energy. We show that this is possible only for theories with gradient nonmetricity, i. e., when the vectorial nonmetricity amounts to a gradient of a scalar. The possibility that vectorial nonmetricity may have played a role in the quantum epoch is not ruled out. We also present an alternative interpretation of gauge invariance of theories with vectorial nonmetricity which we call as ``many-worlds'' interpretation due to its overall similitude with the known interpretation of quantum physics.

arXiv comment16 pages, no figures. Version accepted by PRD

References in corpus (61)

• Decoherence, einselection, and the quantum origins of the classical
• f(T) teleparallel gravity and cosmology
• Modified teleparallel gravity: inflation without inflaton
• The teleparallel equivalent of general relativity
• Cosmology in $f(Q)$ geometry
• The Stueckelberg Field
• Alternatives to Dark Matter and Dark Energy
• Observational constraints of $f(Q)$ gravity
• Extended Gravity Theories and the Einstein-Hilbert Action
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Modified teleparallel theories of gravity
• The Stueckelberg $Z^{\prime }$ Extension with Kinetic Mixing and Milli-Charged Dark Matter From the Hidden Sector
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• The conformal frame freedom in theories of gravitation
• Generalizations of teleparallel gravity and local Lorentz symmetry
• A Stueckelberg Extension of the Standard Model
• The (pseudo)issue of the conformal frame revisited
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Nonmetricity formulation of general relativity and its scalar-tensor extension
• Accelerated Expansion of the Universe in Non-minimally Coupled Gravity
• Cosmography in $f(Q)$ gravity
• Local Conformal Symmetry in Physics and Cosmology
• The Interpretation of Quantum Mechanics: Many Worlds or Many Words?
• Conformal Transformations with Multiple Scalar Fields
• Against Many-Worlds Interpretations
• Lagrange formulation of the symmetric teleparallel gravity
• Aspects of the Stueckelberg Extension
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Symmetric Teleparallel Gravity: Some exact solutions and spinor couplings
• Consistent Spin-Two Coupling and Quadratic Gravitation
• Conformal-Frame (In)dependence of Cosmological Observations in Scalar-Tensor Theory
• Spacetimes with vector distortion: Inflation from generalised Weyl geometry
• Spontaneous breaking of Weyl quadratic gravity to Einstein action and Higgs potential
• Fake Conformal Symmetry in Conformal Cosmological Models
• Conformal Gravity and Transformations in the Symmetric Teleparallel Framework
• Family of scalar-nonmetricity theories of gravity
• Gauging scale symmetry and inflation: Weyl versus Palatini gravity
• The conformal transformation's controversy: what are we missing?
• Standard Model in Weyl conformal geometry
• Stueckelberg breaking of Weyl conformal geometry with applications to gravity
• Sailing through the big crunch-big bang transition
• Weyl geometry
• New Conformal Gauging and the Electromagnetic Theory of Weyl
• Cosmological bouncing scenarios in symmetric teleparallel gravity
• Dark matter as a Weyl geometric effect
• Many worlds in one
• Non-metric geometry as the origin of mass in gauge theories of scale invariance
• Many lives in many worlds
• Minimal coupling in presence of non-metricity and torsion
• Weyl gauge theories of gravity do not predict a second clock effect
• Experimental constraints on the second clock effect
• Nonmetricity theories and aspects of gauge symmetry
• Conformally invariant proper time with general non-metricity
• Note on the absence of the second clock effect in Weyl gauge theories of gravity
• Demystifying autoparallels in alternative gravity
• Gravity, Gauges and Clocks
• Conformal Teleparallel Theories and Weyl Geometry
• A generalized Weyl structure with arbitrary non-metricity
• A novel approach to autoparallels for the theories of symmetric teleparallel gravity
• Weyl covariance, second clock effect and proper time in theories of symmetric teleparallel gravity
• The existence of time

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