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This essay discusses some geometric effects associated with gravitomagnetic fields and gravitomagnetic charge as well as the gravity theory of the latter. Gravitomagnetic charge is the duality of gravitoelectric charge (mass) and is…

广义相对论与量子宇宙学 · 物理学 2017-08-30 Jian Qi Shen

In this note we show the existence of the hyperbolical geometric quantum phase that is different from the ordinary trigonometric geometric quantum phase. Gravitomagnetic charge (dual mass) is the gravitational analogue of magnetic monopole…

经典物理 · 物理学 2007-05-23 Jian Qi Shen

The nonanalytic property of metric resulting from the presence of gravitomagnetic monopoles is considered. The curvature tensors, dual curvature tensors, dual Einstein tensor (and hence the gravitational field equation of gravitomagnetic…

广义相对论与量子宇宙学 · 物理学 2009-09-01 Jian Qi Shen

The curvature invariants have been subject of interest due to the debate concerning the notions of intrinsic/extrinsic frame-dragging, the use of the electromagnetic analogy in such classification, and the question of whether there is a…

广义相对论与量子宇宙学 · 物理学 2021-10-26 L. Filipe O. Costa , Lode Wylleman , José Natário

The gravitomagnetic field is the force exerted by a moving body on the basis of the intriguing interplay between geometry and dynamics which is the analog to the magnetic field of a moving charged body in electromagnetism. The existence of…

广义相对论与量子宇宙学 · 物理学 2016-09-16 Behrooz Malekolkalami , Mehrdad Farhoudi

Symmetries and conserved charges are investigated for linearised gravity and its dual formulation in terms of the dual graviton field. Conserved charges are constructed for the dual graviton theory as Noether charges associated with…

高能物理 - 理论 · 物理学 2024-02-01 C. M. Hull

The free graviton theory given by linearising Einstein's theory has a dual formulation in terms of a dual graviton field. The dual graviton theory has two gauge invariances giving rise to two conserved charges, while the ADM charges of the…

高能物理 - 理论 · 物理学 2025-08-07 Chris Hull , Ulf Lindström , Maxwell L. Velásquez Cotini Hutt

The physically interesting gravitational analogue of magnetic monopole in electrodynamics is considered in the present paper. The author investigates the field equation of gravitomagnetic matter, and the exact static cylindrically symmetric…

广义相对论与量子宇宙学 · 物理学 2015-09-14 Jian-Qi Shen

This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a hopefully pedagogical way. As a first motivation of this work, it highlights the…

高能物理 - 理论 · 物理学 2011-12-20 François Dehouck

A new version of the modified theory of gravity is formulated in which two physical metrics are constructed out of two vierbeins connected with each other by the duality condition including the flat metric of the prior geometry. The duality…

广义相对论与量子宇宙学 · 物理学 2025-05-20 V. I. Tselyaev

We review the status of electric/magnetic duality for free gauge field theories in four space-time dimensions with emphasis on Maxwell theory and linearized Einstein gravity. Using the theory of vector and tensor spherical harmonics, we…

高能物理 - 理论 · 物理学 2009-10-15 Ioannis Bakas

Self-duality in Euclidean gravitational set ups is a tool for finding remarkable geometries in four dimensions. From a holographic perspective, self-duality sets an algebraic relationship between two a priori independent boundary data: the…

高能物理 - 理论 · 物理学 2014-06-11 P. Marios Petropoulos

We construct a topological field theory which, on the one hand, generalizes BF theories in that there is non-trivial coupling to `topological matter fields'; and, on the other, generalizes the three-dimensional model of Carlip and Gegenberg…

高能物理 - 理论 · 物理学 2009-10-31 J. Gegenberg , R. B. Mann

A theory of gravity with torsion is examined in which the torsion tensor is constructed from the exterior derivative of an antisymmetric rank two potential plus the dual of the gradient of a scalar field. Field equations for the theory are…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Charro Gruver , Richard Hammond , P. F. Kelly

Dipole fields are common in electromagnetism and may be viewed as the result of a positive and negative charge (or pole) which are close together. A dipole field in gravity is not expected to exist because negative mass has never been…

广义相对论与量子宇宙学 · 物理学 2020-06-02 Richard T Hammond

Dynamical origin of duality between gauge theory and gravity is studied using the dual transformation and the formation of graviton as a collective excitation of dual gauge bosons. In this manner, electric-magnetic duality in gauge theory…

高能物理 - 理论 · 物理学 2007-05-23 Akiko Noguchi , Akio Sugamoto

We study how the supersymmetry algebra copes with gravitational duality. As a playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity. We find explicitly its Killing spinors, and the projection they obey provides…

高能物理 - 理论 · 物理学 2009-06-30 Riccardo Argurio , François Dehouck , Laurent Houart

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

高能物理 - 理论 · 物理学 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of…

广义相对论与量子宇宙学 · 物理学 2024-06-21 Hitender Kumar , Tanmoy Paul , Soumitra SenGupta

We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QFT…

高能物理 - 理论 · 物理学 2022-05-25 Valentin Benedetti , Horacio Casini , Javier M. Magan
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