New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.
Symmetric teleparallel general relativity
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abstract
General relativity can be presented in terms of other geometries besides Riemannian. In particular, teleparallel geometry (i.e., curvature vanishes) has some advantages, especially concerning energy-momentum localization and its ``translational gauge theory'' nature. The standard version is metric compatible, with torsion representing the gravitational ``force''. However there are many other possibilities. Here we focus on an interesting alternate extreme: curvature and torsion vanish but the nonmetricity $\nabla g$ does not---it carries the ``gravitational force''. This {\it symmetric teleparallel} representation of general relativity covariantizes (and hence legitimizes) the usual coordinate calculations. The associated energy-momentum density is essentially the Einstein pseudotensor, but in this novel geometric representation it is a true tensor.
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Primary constraint analysis of Newer General Relativity recovers five tensor and three vector constraints and identifies a previously unreported scalar-sector degeneracy that produces one or two constraints depending on the c_i values.
Any background-inert λ in coincident f(Q) gravity degenerates with σ80 via an As-D0(λ) link, inflating σ80 to unphysical levels and raising As by 20-30% in tension with Planck unless fixed by As priors.
A residue-based approach in f(Q) gravity claims that thermodynamic Hessian degeneracy in the extended state space produces corresponding shifts in quasinormal-mode frequencies, Lyapunov exponents, damping times, and near-horizon monodromy.
In symmetric teleparallel f(Q) gravity with nonminimal EM-nonmetricity coupling, the distance duality relation is dynamically violated, yielding a generalized formula relating observational distances to the Hubble rate.
f(Q) gravity yields Taub-de Sitter-like plane symmetric vacuum solutions, and quadratic models support isotropic slabs where maximum pressure is offset from the center with thickness and pressure increasing for negative α.
A single f(Q, L_m) gravity model with HRDE produces Starobinsky-like inflation at high curvature and late-time acceleration, with RGUP corrections keeping n_s and r consistent with Planck while shifting the running of the spectral index.
f(Q) gravity exhibits pathological behavior in its scalar-tensor representation.
Derives background solutions for linear f(Q,T)=αQ+βT plus DBI field and reports MCMC posteriors from Hubble, BAO, and SNIa data that are consistent with late-time constraints.
Applies f(Q) gravity with linear nonmetricity and Krori-Barua metric to four pulsars, finding positive anisotropy, compactness inside Buchdahl limit, and Chi-square agreement for model masses across 30 values of parameter a.
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3-dimensional charged black holes in $f({Q})$ gravity
New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.