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We initiate the analysis of the inflationary dynamics in Weyl-invariant Einstein-Cartan gravity nonminimally coupled to the Standard Model of particle physics. We take the axion-like particle of gravitational origin to be heavy and show…

High Energy Physics - Phenomenology · Physics 2025-07-23 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

We consider the embedding of Higgs inflation with a non-minimal coupling into the Weyl gravity. In this model, the effective current-current interactions from the heavy Weyl gauge field cancel the non-canonical Higgs kinetic term in…

High Energy Physics - Phenomenology · Physics 2023-08-14 Shuntaro Aoki , Hyun Min Lee

We consider Weyl gauge theories of gravity (WGTs), which are invariant both under local Poincar\'e transformations and local changes of scale. Such theories may be interpreted as gauge theories in Minkowski spacetime, but their…

General Relativity and Quantum Cosmology · Physics 2021-03-25 Michael Hobson , Anthony Lasenby

A generalized Brans-Dicke (GBD) theory in the framework of Palatini formalism are proposed in this paper. We derive the field equations by using the variational approach and obtain the linearized equations by using the weak-field…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Jianbo Lu , Jiachun Li , Hui Guo , Zhitong Zhuang , Xin Zhao

We show that the general theory of relativity can be formulated in the language of Weyl geometry. We develop the concept of Weyl frames and point out that the new mathematical formalism may lead to different pictures of the same…

General Relativity and Quantum Cosmology · Physics 2015-06-03 C. Romero , J. B. Fonseca-Neto , M. L. Pucheu

The black hole weak gravity conjecture (WGC) is a set of linear inequalities on the four-derivative corrections to Einstein--Maxwell theory. Remarkably, in four dimensions, these combinations appear in the $2 \to 2$ photon amplitudes,…

High Energy Physics - Theory · Physics 2022-09-07 Johan Henriksson , Brian McPeak , Francesco Russo , Alessandro Vichi

When general relativity is augmented by quadratic gravity terms, it becomes a renormalisable theory of gravity. This theory may admit a non-Gaussian fixed point as envisaged in the asymptotic safety program, rendering the theory trustworthy…

High Energy Physics - Theory · Physics 2019-11-06 Jean-Luc Lehners , K. S. Stelle

The direct detection of gravitational waves (GW) from merging binary black holes and neutron stars mark the beginning of a new era in gravitational physics, and it brings forth new opportunities to test theories of gravity. To this end, it…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Atsushi Nishizawa

We use gravitational waves (GWs) from binary black holes (BBHs) and neutron stars inspiraling into intermediate-mass black holes to evaluate how accurately the future space-based GW detectors such as LISA, Taiji and TianQin and their…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Qing Gao , Yujie You , Yungui Gong , Chao Zhang , Chunyu Zhang

Gravity theories that modify General Relativity in the slow-motion regime can introduce nonperturbative corrections to the stochastic gravitational-wave background~(SGWB) from supermassive black-hole binaries in the nano-Hertz band, while…

General Relativity and Quantum Cosmology · Physics 2024-05-08 Enrico Cannizzaro , Gabriele Franciolini , Paolo Pani

Gravitational waves provide a unique opportunity to test gravity in the dynamical and nonlinear regime. We present a parametrized test of general relativity (GR) that introduces generic deviations to the plunge, merger and ringdown stages…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Elisa Maggio

We propose a testable alternative to inflation directly built in a very general class of ultraviolet complete theories of quantum gravity enjoying Weyl invariance. After the latter is spontaneously broken, logarithmic quantum corrections to…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Gianluca Calcagni , Leonardo Modesto

We consider the construction of gauge theories of gravity that are invariant under local conformal transformations. We first clarify the geometric nature of global conformal transformations, in both their infinitesimal and finite forms, and…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Michael Hobson , Anthony Lasenby

Non-metricity provides a natural extension of Riemannian geometry, yet its experimental signatures remain largely unexplored. In this work we investigate how spacetime non-metricity can be probed through high-precision observations,…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Mohsen Khodadi , Emmanuel N. Saridakis

We present a detailed investigation of the anomalous gravitational amplitude in a simple two-dimensional model with Weyl fermions. We employ a mathematical strategy that completely avoids any regularization prescription for handling…

High Energy Physics - Theory · Physics 2024-04-19 G. Dallabona , P. G. de Oliveira , O. A. Battistel

In this paper, two things are done. (i) Using cohomological techniques, we explore the consistent deformations of linearized conformal gravity in 4 dimensions. We show that the only possibility involving no more than 4 derivatives of the…

High Energy Physics - Theory · Physics 2017-09-27 N. Boulanger , M. Henneaux

We present locally scale (Weyl) covariant generalisation of Minimal Massive Gravity theory using the language of exterior differential forms on Riemann-Cartan-Weyl space-times. The theory is expressed by a locally scale invariant action and…

General Relativity and Quantum Cosmology · Physics 2019-04-26 Tekin Dereli , Cem Yetişmişoğlu

We study the field equations of modified theories of gravity in which the lagrangian is a general function of the Ricci scalar and Ricci-squared terms in Palatini formalism. We show that the independent connection can be expressed as the…

General Relativity and Quantum Cosmology · Physics 2009-09-01 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

We study the particle spectrum and the unitarity of the generic n-dimensional Weyl-invariant quadratic curvature gravity theories around their (anti-)de Sitter [(A)dS] and flat vacua. Weyl symmetry is spontaneously broken in (A)dS and…

High Energy Physics - Theory · Physics 2012-03-13 M. Reza Tanhayi , Suat Dengiz , Bayram Tekin

We consider, in Palatini formalism, a modified gravity of which the scalar field derivative couples to Einstein tensor. In this scenario, Ricci scalar, Ricci tensor and Einstein tensor are functions of connection field. As a result, the…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Narakorn Kaewkhao , Burin Gumjudpai