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A scenario based on the scale invariance for explaining the vanishing cosmological constant (CC) is discussed. I begin with a notice on the miraculous fact of the CC problem that the vacuum energies totally vanish at each step of…

高能物理 - 理论 · 物理学 2020-04-07 Taichiro Kugo

Recently the vector inflation has been proposed as the alternative to inflationary models based on scalar bosons and quintessence scalar fields. In the vector inflationary model, the vector field non-minimally couples to gravity. We should,…

广义相对论与量子宇宙学 · 物理学 2012-04-06 Takuya Maki , Yuji Naramoto , Kiyoshi Shiraishi

Vacuum cosmological models are considered in the context of a multidimensional theory of gravity with integrable Weyl geometry. A family of exact solutions with a chain of internal spaces is obtained. Models with one internal space are…

广义相对论与量子宇宙学 · 物理学 2016-08-31 K. A. Bronnikov , V. N. Melnikov

We consider a generalization of Einstein's general theory of relativity such that it respects local scale invariance. This requires the introduction of a scalar and a vector field in the action. We show that the theory naturally displays…

高能物理 - 唯象学 · 物理学 2010-04-21 Pavan Kumar Aluri , Pankaj Jain , Naveen K. Singh

In this work we consider a dark matter candidate described by an ultralight vector field, whose mass is in principle in the range $H_{\rm{eq}}\sim 10^{-28}\rm{eV}\ll m< \rm{eV}$. The homogeneous background vector field is assumed to point…

宇宙学与河外天体物理 · 物理学 2025-05-22 Tomás Ferreira Chase , Matías Leizerovich , Diana López Nacir , Susana Landau

We construct a class of theories which are scale invariant on quantum level in all orders of perturbation theory. In a subclass of these models scale invariance is spontaneously broken, leading to the existence of a massless dilaton. The…

高能物理 - 理论 · 物理学 2009-01-16 Mikhail Shaposhnikov , Daniel Zenhausern

We investigate cosmological inflationary scenarios from a gravitoelectromagnetic theory. Our work is formulated in the light of a recently introduced geometrical Weyl-Invariant scalar-tensor theory of gravity, where the nature of both the…

广义相对论与量子宇宙学 · 物理学 2018-04-10 M. Montes , José Edgar Madriz Aguilar , V. Granados

Energy transfer in the dark sector of the universe gives rise to new phenomena of special interest in modern cosmology. When dark energy is modeled as a phantom scalar field, interactions become crucial to avoid Big Rip singularities. In…

广义相对论与量子宇宙学 · 物理学 2025-01-17 Genly Leon , Daya Shankar , Amlan Halder , Andronikos Paliathanasis

We show how to lift a generic non-scale invariant action in Einstein frame into a locally conformally-invariant (or Weyl-invariant) theory and present a new general form for Lagrangians consistent with Weyl symmetry. Advantages of such a…

高能物理 - 理论 · 物理学 2014-02-26 Itzhak Bars , Paul Steinhardt , Neil Turok

General Relativity extended through a dynamical scalar quartet is proposed as a theory of the scalar-vector-tensor gravity, generically describing the unified gravitational dark matter (DM) and dark energy (DE). The implementation in the…

广义相对论与量子宇宙学 · 物理学 2017-07-11 Yury F. Pirogov

Starting with the idea to describe phenomenologically the particle creation in the strong gravitational fields, we introduced explicitly the particle number nonconservation (= creation law) into the action integral with the corresponding…

广义相对论与量子宇宙学 · 物理学 2017-11-27 V. A. Berezin , V. I. Dokuchaev , Yu. N. Eroshenko

A certain vector-tensor (VT) theory is revisited. It was proposed and analyzed as a theory of electromagnetism without the standard gauge invariance. Our attention is first focused on a detailed variational formulation of the theory, which…

宇宙学与河外天体物理 · 物理学 2013-01-15 Roberto Dale , Diego Sáez

We investigate the possibility of inducing the cosmological constant from extra dimensions by embedding our four-dimensional Riemannian space-time into a five-dimensional Weyl integrable space. Following approach of the induced matter…

数学物理 · 物理学 2009-11-05 Jose Edgar Madriz Aguilar , Carlos Romero

We investigate in this paper the cosmological evolution of a dark energy model with two scalar fields where one of the scalar has canonical kinetic energy and another scalar has negative kinetic energy term. For such a system with…

天体物理学 · 物理学 2007-05-23 Zong-Kuan Guo , Yun-Song Piao , Xinmin Zhang , Yuan-Zhong Zhang

H. Weyl's proposal of 1918 for generalizing Riemannian geometry by local scale gauge (later called {\em Weyl geometry}) was motivated by mathematical, philosophical and physical considerations. It was the starting point of his unified field…

物理学史与哲学 · 物理学 2021-04-14 Erhard Scholz

We investigate a bouncing cosmological model within the Weyl-type $f(Q)$ gravity framework, employing a power-law form of the non-metricity scalar $Q$. The model successfully resolves the initial singularity problem by demonstrating a…

广义相对论与量子宇宙学 · 物理学 2026-02-04 Rita Rani , G. K. Goswami , J. K. Singh , Sushant G. Ghosh , Sunil D Maharaj

In this work we present the foundations of generalized scalar-tensor theories arising from vector bundle constructions, and we study the kinematic, dynamical and cosmological consequences. In particular, over a pseudo-Riemannian space-time…

广义相对论与量子宇宙学 · 物理学 2021-09-15 Spyros Konitopoulos , Emmanuel N. Saridakis , P. C. Stavrinos , A. Triantafyllopoulos

It was argued recently that conformal invariance in flat spacetime implies Weyl invariance in a general curved background for unitary theories and possible anomalies in the Weyl variation of scalar operators are identified. We argue that…

高能物理 - 理论 · 物理学 2018-01-17 Feng Wu

A cosmic scalar field evolving very slowly in time can account for the observed dark energy of the Universe. Unlike a cosmological constant, an evolving scalar field also has local spatial gradients due to gravity. If the scalar field has a…

宇宙学与河外天体物理 · 物理学 2013-03-01 Michael V. Romalis , Robert R. Caldwell

We study inflation in Weyl gravity. The original Weyl quadratic gravity, based on Weyl conformal geometry, is a theory invariant under Weyl symmetry of (gauged) local scale transformations. In this theory Planck scale ($M$) emerges as the…

广义相对论与量子宇宙学 · 物理学 2020-01-08 D. M. Ghilencea