Hubble parameter and related formulas for a Weyl scaling invariant dark energy action

Possible Resolution of the Hubble Tension with Weyl Invariant Gravity

We explore cosmological implications of a genuinely Weyl invariant (WI) gravitational interaction. The latter reduces to general relativity in a particular conformal frame for which the gravitational coupling and active gravitational masses are fixed. Specifically, we consider a cosmological model in this framework that is {\it dynamically} identical to the standard model (SM) of cosmology. However, {\it kinematics} of test particles traveling in the new background metric is modified thanks to a new (cosmological) fundamental mass scale, $γ$, of the model. Since the lapse-function of the new m…

Power-law cosmology in Weyl-type $f(Q,T)$ gravity

Gravity is attributed to the spacetime curvature in classical General Relativity (GR). But, other equivalent formulation or representations of GR, such as torsion or non-metricity have altered the perception. We consider the Weyl-type $f(Q, T)$ gravity, where $Q$ represents the non-metricity and $T$ is the trace of energy momentum temsor, in which the vector field $ω_μ$ determines the non-metricity $Q_{μνα}$ of the spacetime. In this work, we employ the well-motivated $f(Q, T)= αQ+ \fracβ{6k^{2}} T$, where $α$ and $β$ are the model parameters. Furthermore, we assume that the universe is domina…

追踪宇宙演化：Weyl型f(Q,T)引力模型的理论分析与观测验证

Tracing cosmic evolution through Weyl-Type f(Q,T) gravity model: theoretical analysis and observational validation

本研究通过动力学系统分析和CC及Pantheon+数据验证，确认Weyl型f(Q,T)引力模型能描述宇宙从减速到加速的转变，并给出宇宙年龄约13.8-14 Gyr。

Weyl f(Q)引力中具有 quintom 签名的尺度不变 bounce 宇宙学

Scale-Invariant Bounce Cosmology in Weyl f(Q) Gravity with Quintom Signature

Weyl f(Q)引力中通过非奇异bounce解决初始奇点问题，展现quintom行为和暗能量动态。

Solar system relativity tests, formulas for light deflection by a central mass, and modification of the lens equation, for a Weyl scaling invariant dark energy

We estimate the changes in solar system tests of general relativity when "dark energy" arises from a Weyl scaling invariant action, using the modified Schwarzschild-like spherically symmetric solution obtained in this case by Adler and Ramazano\vglu. We show that the standard results of general relativity are modified by amounts that are far below current experimental errors. However, because the metric is not conformally flat when the central mass $M$ vanishes, there is a contribution to light deflection proportional to the cosmological constant $Λ$, with opposite sign to the one proportional…

Gauge invariant theory of gravity in spacetime with gradient nonmetricity: A possible resolution of several cosmological puzzles

In this paper we apply the symmetry principle in order to search for an alternative unified explanation of several cosmological puzzles such as the present stage of accelerated expansion of the Universe and the Hubble tension issue, among others. We argue that Weyl gauge symmetry, being a manifest symmetry of gauge invariant theories of gravity operating on Weyl integrable geometry spacetimes, may be an actual (unbroken) symmetry of our present Universe. This symmetry may be at the core of a phenomenologically feasible explanation of modern fundamental issues arising within the framework of ge…