Coincident General Relativity

Abstract

The metric-affine variational principle is applied to generate teleparallel and symmetric teleparallel theories of gravity. From the latter is discovered an exceptional class which is consistent with a vanishing affine connection. Based on this remarkable property, this work proposes a simpler geometrical formulation of General Relativity that is oblivious to the affine spacetime structure, thus fundamentally depriving gravity of any inertial character. The resulting theory is described by the Hilbert action purged from the boundary term and is more robustly underpinned by the spin-2 field theory, where an extra symmetry is now manifest, possibly related to the double copy structure of the gravity amplitudes. This construction also provides a novel starting point for modified gravity theories, and the paper presents new and simple generalisations where analytical self-accelerating cosmological solutions arise naturally in the early and late time universe.

5 pages

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• Particle Production Scenario in an Algebraically Coupled Quintessence Field with a Dark Matter Fluid
• Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions
• Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars
• Polytropic $f(Q)$ cosmology and its implications for the $H_0$ tension
• Cosmic expansion history analysis with Hubble parametrization in $Q^n$ gravity
• Quintessence dark energy model in non-linear $f(Q)$ theory with bulk-viscosity
• Minisuperspace Cosmology in Extended Geometric Trinity of Gravity
• The canonical energy-momentum currents in cosmology
• Reconstruction of Tsallis Holographic Dark Energy via Modified Non-Metric Gravity: An $f(Q,C)$ Approach
• Global portraits of nonminimal teleparallel inflation
• Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation
• Observational Constraints on Chaplygin Gas Models in Non-Minimally Coupled Power Law $f(Q)$ Gravity with Quasars
• Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity
• Static, Cylindrically Symmetric Spacetimes in the Coincident f(Q) Gravity
• Non-metricity signatures on the Higgs boson signal strengths at the LHC
• Issue of Branched Hamiltonian, Inflation and indispensability of scalar field in generalized Teleparallel theories
• Quantum Cosmology in $f(Q)$ theory
• Linearized transverse diffeomorphism invariant spin-2 theories via gauge invariants
• Geometric formulation of $k$-essence and late-time acceleration
• Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature
• On Hamiltonian formulations of the Dirac system
• A Modified Gravitational Theory of the Matter Sector of the Type $\varphi (R,T){\mathcal{L}}_m$
• The $f(Q)$ gravity and affine EoS: Compatibility and observational constraints
• Static plane symmetric solutions in $f(Q)$ gravity
• Effective $\Lambda$CDM model emerging from $f(Q,T)$ under a special EOS limit in symmetric cosmology with Bayesian and ANN observational constraints
• Degrees of freedom of a quadratic scalar-nonmetricity theory
• Neutron stars in $f(\mathbb{Q})$ gravity
• (In)equivalence of Metric-Affine and Metric Effective Field Theories
• Symmetric teleparallel gravitational effects on solar neutrino oscillations
• Conceptual and Geometric Foundations for a Teleparallel Approach to Quantum Gravity
• Dynamics of Linear Scalar Perturbation in f(Q)+f(T) class of f(Q,T) gravity
• Gravitational energy in pp-wave spacetimes
• Comparison of Quasinormal Modes of Black Holes in $f(\mathbb{T})$ and $f(\mathbb{Q})$ Gravity
• Bayesian Inference of Neutron Star Properties in $f(Q)$ Gravity Using NICER Observations
• Exploring the Viability of $f(Q,T)$ Gravity: Constraining Parameters with Cosmological Observations
• Inflation and primordial fluctuations in $f(Q,T)$ gravity
• Black hole shadows in nonminimally coupled Weyl connection gravity
• Lost in translation: the Abelian affine connection (in the coincident gauge)
• Late-Time Cosmic Acceleration in Ricci-Gauss-Bonnet Gravity via Gradient Descent Optimization
• New effective theories of gravitation and their phenomenological consequences
• Modelling Cosmic Rays Flux with Pierre Auger and Telescope Array Data in $\mathbf{f}(\mathbf{R})$ and $\mathbf{f}(\mathbf{Q})$ Theories of Gravity