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The universal character of the gravitational interaction provided by the equivalence principle motivates a geometrical description of gravity. The standard formulation of General Relativity \`a la Einstein attributes gravity to the…

广义相对论与量子宇宙学 · 物理学 2021-04-13 Jose Beltrán Jiménez , Lavinia Heisenberg , Tomi Sebastian Koivisto , Simon Pekar

The application of the notion of `observable' from gauge theory to diffeomorphism-invariant theories -- most relevantly to general relativity -- has led to numerous conceptual and technical issues when interpreting classical theories with…

物理学史与哲学 · 物理学 2026-05-22 Álvaro Mozota Frauca

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

高能物理 - 理论 · 物理学 2009-11-10 C. Wetterich

We study global scale invariance along with the unimodular gravity in the vacuum. The global scale invariant gravitational action which follows the unimodular general coordinate transformations is considered without invoking any scalar…

宇宙学与河外天体物理 · 物理学 2013-11-01 Naveen K. Singh

We show that the Horava theory for the completion of General Relativity at UV scales can be interpreted as a gauge fixed theory, and it can be extended to an invariant theory under the full group of four-dimensional diffeomorphisms. In this…

高能物理 - 理论 · 物理学 2015-05-13 Cristiano Germani , Alex Kehagias , Konstadinos Sfetsos

Recently a scale invariant theory of gravity was constructed by imposing a conformal symmetry on general relativity. The imposition of this symmetry changed the configuration space from superspace - the space of all Riemannian 3-metrics…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Bryan Kelleher

We point out a generic inconsistency of the coupling of ordinary gravity as described by general relativity with matter invariant under the subgroup of unimodular diffeomorphisms (TDiffs), and some previously studied exceptions are pointed…

高能物理 - 理论 · 物理学 2008-11-26 Enrique Alvarez , Anton F. Faedo

Unimodular gravity is characterized by an extra condition with respect to General Relativity: the determinant of the metric is constant. This extra condition leads to a more restricted class of invariance by coordinate transformation. Even…

广义相对论与量子宇宙学 · 物理学 2021-12-14 Júlio C. Fabris , Marcelo H. Alvarenga , Mahamadou Hamani-Daouda , Hermano Velten

We present the locally supersymmetric formulation of unimodular gravity theory in D (1\le D \le 11) dimensions, namely supergravity theory with the metric tensor whose determinant is constrained to be unity. In such a formulation, the usual…

高能物理 - 理论 · 物理学 2009-11-07 Hitoshi Nishino , Subhash Rajpoot

Unimodular gravity (UG) is an interesting theory that may explain why the cosmological constant is extremely small, in contrast to general relativity (GR). The theory has only the transverse diffeomorphism invariance and this causes lots of…

高能物理 - 理论 · 物理学 2022-04-27 Taichiro Kugo , Ryuichi Nakayama , Nobuyoshi Ohta

The configuration space of general relativity is superspace - the space of all Riemannian 3-metrics modulo diffeomorphisms. However, it has been argued that the configuration space for gravity should be conformal superspace - the space of…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Bryan Kelleher

Extensions of the gravity theory in order to obtain traceless field equations have been widely considered in the literature. The leading example of such class of theories is the unimodular gravity, but there are other possibilities like the…

广义相对论与量子宇宙学 · 物理学 2019-12-23 Mahamadou Daouda , J. C. Fabris , A. M. Oliveira , F. Smirnov , H. E. S. Velten

The renormalization group flow of unimodular quantum gravity is computed by taking into account the graviton and Faddeev-Popov ghosts anomalous dimensions. In this setting, a ultraviolet attractive fixed point is found. Symmetry-breaking…

高能物理 - 理论 · 物理学 2020-07-14 Gustavo P. de Brito , Antonio D. Pereira

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

高能物理 - 理论 · 物理学 2015-05-18 Szilard Farkas , Emil J. Martinec

Einstein's traceless 1919 gravitational theory is analyzed from a variational viewpoint. It is shown to be equivalent to a transverse (invariant only under diffeomorphisms that preserve the Lebesgue measure) theory, with an additional Weyl…

高能物理 - 理论 · 物理学 2015-06-04 Enrique Alvarez

Minimally modified gravity theories are modifications of general relativity with two local gravitational degrees of freedom in four dimensions. Their construction relies on the breaking of 4D diffeomorphism invariance keeping however the…

广义相对论与量子宇宙学 · 物理学 2019-08-07 Shinji Mukohyama , Karim Noui

In the report, the theory of unimodular bimode gravity built on principles of unimodular gauge invariance/relativity and general covariance is exposed. Besides the massless tensor graviton of General Relativity, the theory includes an…

广义相对论与量子宇宙学 · 物理学 2020-01-01 Yu. F. Pirogov

We review and extend the Gauge Vectors-Tensor gravity: a covariant theory of gravity composed of a metric and gauge fields, leading to simple second order partial differential equations of motion, whose Newtonian and strong limits coincide…

广义相对论与量子宇宙学 · 物理学 2014-06-03 Qasem Exirifard

We discuss two distinct realizations of the diffeomorphism group for metric gravity, which give rise to theories that are classically equivalent, but quantum mechanically distinct. We renormalize them in $d=2+\epsilon$ dimensions,…

高能物理 - 理论 · 物理学 2021-11-03 Riccardo Martini , Alessandro Ugolotti , Francesco Del Porro , Omar Zanusso

We implement the method developed in [1] to construct the most general parametrised action for linear cosmological perturbations of bimetric theories of gravity. Specifically, we consider perturbations around a homogeneous and isotropic…

广义相对论与量子宇宙学 · 物理学 2017-01-27 Macarena Lagos , Pedro G. Ferreira