From Dark Energy and Dark Matter to Dark Metric

Abstract

It is nowadays clear that General Relativity cannot be the definitive theory of Gravitation due to several shortcomings that come out both from theoretical and experimental viewpoints. At large scales (astrophysical and cosmological) the attempts to match it with the latest observational data lead to invoke Dark Energy and Dark Matter as the bulk components of the cosmic fluid. Since no final evidence, at fundamental level, exists for such ingredients, it is clear that General Relativity presents shortcomings at infrared scales. On the other hand, the attempts to formulate more general theories than Einstein's one give rise to mathematical difficulties that need workarounds that, in turn, generate problems from the interpretative viewpoint. We present here a completely new approach to the mathematical objects in terms of which a theory of Gravitation may be written in a first-order (a' la Palatini) formalism, and introduce the concept of Dark Metric which could completely bypass the introduction of disturbing concepts as Dark Energy and Dark Matter.

References in corpus (3)

• The Confrontation between General Relativity and Experiment
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Dark energy and dark matter as curvature effects

Cited by in corpus (14)

• Cosmology of hybrid metric-Palatini f(X)-gravity
• Physical non-equivalence of the Jordan and Einstein frames
• Unifying Einstein and Palatini gravities
• Equivalence between Palatini and metric formalisms of f(R)-gravity by divergence free current
• Jeans analysis in energy-momentum-squared gravity
• Correspondence between Jordan-Einstein frames and Palatini-metric formalisms
• Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
• Unified $f(R)$ gravity at local scales
• The physical foundations for the geometric structure of relativistic theories of gravitation. From General Relativity to Extended Theories of Gravity through Ehlers-Pirani-Schild approach
• Dark Gravitational Field on Riemannian and Sasaki Spacetime
• Breaking the Conformal Gauge by Fixing Time Protocols
• Weyl Geometries and Timelike Geodesics
• Equivalent Gravities and Equivalence Principle: Foundations and experimental implications
• Extended Theories of Gravity in cosmological and astrophysical applications