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The Weyl geometric gravity theory, in which the gravitational action is constructed from the square of the Weyl curvature scalar and the strength of the Weyl vector, has been intensively investigated recently. The theory admits a…

广义相对论与量子宇宙学 · 物理学 2025-11-19 Mohsen Khodadi , Tiberiu Harko

In this paper we will show all the linearized curvature tensors in the infinite derivative ghost and singularity free theory of gravity in the static limit. We have found that in the region of non-locality, in the ultraviolet regime (at…

广义相对论与量子宇宙学 · 物理学 2018-10-03 Luca Buoninfante , Alexey S. Koshelev , Gaetano Lambiase , Anupam Mazumdar

The study of linear perturbation theory for general functions of the Ricci and Gauss-Bonnet scalars is done over an empty anisotropic universe, i.e. the Kasner-type background, in order to show that an anisotropic background in general has…

宇宙学与河外天体物理 · 物理学 2010-10-27 Antonio De Felice , Takahiro Tanaka

It is shown that in a quadratic gravity based on Weyl's conformal geometry, not only the Einstein-Hilbert action emerges but also a Weyl gauge field becomes massive in the Weyl gauge condition, $\tilde R = k$, for a Weyl gauge symmetry…

高能物理 - 理论 · 物理学 2020-03-04 Ichiro Oda

In this paper we revisit the motivation and construction of a unified theory of gravity and electromagnetism, following Weyl's insights regarding the appealing potential connection between the gauge invariance of electromagnetism and the…

广义相对论与量子宇宙学 · 物理学 2018-02-13 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

We consider a model with Lorentz-violating vector field condensates, in which dispersion laws of all perturbations, including tensor modes, undergo non-trivial modification in the infrared. The model is free of ghosts and tachyons at high…

高能物理 - 理论 · 物理学 2009-11-11 M. V. Libanov , V. A. Rubakov

In general relativity, gravitational waves propagate at the speed of light, and so gravitons are massless. The masslessness can be traced to symmetry under diffeomorphisms. However, another elegant possibility exists: masslessness can…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Alan Kostelecky , Robertus Potting

Theories that spontaneously break Lorentz invariance also violate diffeomorphism symmetries, implying the existence of extra degrees of freedom and modifications of gravity. In the minimal model (``ghost condensation'') with only a single…

高能物理 - 理论 · 物理学 2009-11-11 Hsin-Chia Cheng , Markus A. Luty , Shinji Mukohyama , Jesse Thaler

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…

广义相对论与量子宇宙学 · 物理学 2023-01-13 Israel Quiros

The pure $R^2$ gravity is equivalent to Einstein gravity with cosmological constant and a massless scalar field and it further possesses the so-called restricted Weyl symmetry which is a symmetry larger than scale symmetry. To incorporate…

高能物理 - 理论 · 物理学 2018-09-19 Ariel Edery , Yu Nakayama

The existence of a ghost free theory of massive gravity begs for an interpretation as a Higgs phase of General Relativity. We revisit the study of massive gravity as a Higgs phase. Absent a compelling microphysical model of spontaneous…

高能物理 - 理论 · 物理学 2015-08-06 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

We analyze gravitational theories with quadratic curvature terms, including the case of conformally invariant Weyl gravity, motivated by the intention to find a renormalizable theory of gravity in the ultraviolet region, yet yielding…

高能物理 - 理论 · 物理学 2014-06-18 Josef Klusoň , Markku Oksanen , Anca Tureanu

We determine the leading order fall-off behaviour of the Weyl tensor in higher dimensional Einstein spacetimes (with and without a cosmological constant) as one approaches infinity along a congruence of null geodesics. The null congruence…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Marcello Ortaggio , Alena Pravdová

There exist two consistent theories of massless, self-interacting gravitons, which differ by their local symmetries: general relativity and Weyl transverse gravity. We show that these two theories are also the only two metric descriptions…

广义相对论与量子宇宙学 · 物理学 2026-01-14 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

We construct a Lagrangian of Weyl spinors and gauge fields, which is invariant under the action of equivalent local transformations on the spinor algebra representations. A model of vacuum with a nontrivial gauge strength-tensor setting a…

高能物理 - 唯象学 · 物理学 2007-05-23 V. V. Kiselev

General Relativity (GR) is an effective field theory valid in the infrared regime. Quadratic curvature extensions intended to probe ultraviolet physics generically propagate a massive spin-$2$ ghost and are therefore non-unitary. One route…

广义相对论与量子宇宙学 · 物理学 2025-10-21 Gaetano Lambiase , Shinji Mukohyama , Tanmay Kumar Poddar , Anna Chiara Rescigno

We show that general infrared modifications of the Einstein-Hilbert action obtained by addition of curvature invariants are not viable. These modifications contain either ghosts or light gravity scalars. A very specific fine-tuning might…

高能物理 - 理论 · 物理学 2007-05-23 Alvaro Nunez , Slava Solganik

We investigate the gravitational wave polarization modes and stability in Weyl geometry gravity within a Minkowski background. Our results indicate that the tensor sector consists of two standard modes propagating at the speed of light.…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Yu-Zhi Fan , Xiao-Bin Lai , Yu-Qi Dong , Yu-Xiao Liu

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation…

高能物理 - 理论 · 物理学 2015-06-11 A. O. Barvinsky , Yu. V. Gusev

We consider a Weyl-invariant formulation of gravity with a cosmological constant in d-dimensional spacetime and show that near two dimensions the classical action reduces to the timelike Liouville action. We show that the renormalized…

高能物理 - 理论 · 物理学 2016-08-17 Teresa Bautista , Atish Dabholkar