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We investigate a biaxial Bianchi IX model with positive cosmological constant, which is sometimes called the Lambda-Taub-NUT spacetime, whose exact solution is well known. The minisuperspace of biaxial Bianchi IX models admits two…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Kento Osuga , Don N. Page

We find an exact solution describing the spacetime outside a massive object with NUT parameter embedded in an external magnetic field. To get the solution, we employ the Ernst magnetization transformation to the Taub-NUT metric as the seed…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Haryanto M. Siahaan

Constructing the Hamiltonian in the $\eta$-representation, we explore the geometric phase in the Taub-NUT spacetime, which is spherically symmetric and stationary. The geometric phase around a non-rotating Taub-NUT spacetime reveals both…

General Relativity and Quantum Cosmology · Physics 2023-10-19 Chandrachur Chakraborty , Banibrata Mukhopadhyay

Starting from the generic harmonic superspace action of the quaternion-K\"ahler sigma models and using the quotient approach we present, in an explicit form, a quaternion-K\"ahler extension of the double Taub-NUT metric. It possesses…

High Energy Physics - Theory · Physics 2009-11-07 Pierre-Yves Casteill , Evgeny Ivanov , Galliano Valent

We present ADHM-Nahm data for instantons on the Taub-NUT space and encode these data in terms of Bow Diagrams. We study the moduli spaces of the instantons and present these spaces as finite hyperkahler quotients. As an example, we find an…

High Energy Physics - Theory · Physics 2009-07-22 Sergey A. Cherkis

Writing the metric of an asymptotically flat spacetime in Bondi coordinates provides an elegant way of formulating the Einstein equation as a characteristic value problem. In this setting, we find that a specific class of asymptotically…

High Energy Physics - Theory · Physics 2021-02-24 Hadi Godazgar , Mahdi Godazgar , C. N. Pope

We present further analysis of an anisotropic, non-singular early universe model that leads to the viable cosmology presented in Dechant et al (arXiv:0809.4335). Although this model (the DLH model) contains scalar field matter, it is…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Pierre-Philippe Dechant , Anthony N. Lasenby , Michael P. Hobson

The supersymmetric extension of Taub-NUT space admits 4 standard supersymmetries plus several additional non-standard ones. The geometrical origin of these symmetries is traced. The result has applications to fermion modes in gravitational…

High Energy Physics - Theory · Physics 2009-10-28 J. W. van Holten

We consider the Gibbons-Hawking metric for a three-dimensional periodic array of multi-Taub-NUT centers, containing not only centers with a positive NUT charge but also ones with a negative NUT charge. The latter are regarded as…

High Energy Physics - Theory · Physics 2015-05-28 Harunobu Imazato , Shun'ya Mizoguchi , Masaya Yata

It was recently conjectured that a certain vacuum Kerr-Schild spacetime, which may be regarded as a self-dual analog of the Kerr metric, is equivalent to the self-dual Taub-NUT instanton. We confirm this conjecture by applying the…

High Energy Physics - Theory · Physics 2024-05-28 Jash Desai , Gabriel Herczeg , David McNutt , Max Pezzelle

We formulate several criteria under which the symmetries associated with the Killing and Killing-Yano tensors on the base space can be lifted to the symmetries of the full warped geometry. The procedure is explicitly illustrated on several…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Pavel Krtous , David Kubiznak , Ivan Kolar

We present an exact solution describing a stationary and axisymmetric object with electromagnetic and dilaton fields. The solution generalizes the usual Kerr-Taub-NUT (Newman-Unti-Tamburino) spacetime in general relativity and is obtained…

High Energy Physics - Theory · Physics 2008-11-26 Alikram N. Aliev , Hakan Cebeci , Tekin Dereli

Using hyperbolic temporal and spatial cut-offs to define 4d asymptotically flat spacetimes, we show that supertranslation ambiguities in the asymptotic fields can all be removed even in the presence of gravitational magnetic charges. We…

High Energy Physics - Theory · Physics 2011-10-11 Amitabh Virmani

We investigate main properties and mutual relations of the so-called A and B-metrics with any value of the cosmological constant. In particular, we explicitly show that both the AII and BI-metrics are, in fact, the famous…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Ondrej Hruska , Jiri Podolsky

ALE and Taub-NUT (or ALF) hyper-Kahler four-manifolds can be naturally constructed as hyper-Kahler quotients. In the ALE case, this construction has long been understood in terms of D-branes; here we give a D-brane derivation in the…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We reduce the Taub-NUT metric dimensionally to three spatial dimensions by treating time as an extra curled dimension, and end up with the 3-dimensional Einstein field equations plus a corresponding Maxwell type equations for a…

High Energy Physics - Theory · Physics 2026-01-29 Mehran Z-Abyaneh , Mehrdad Farhoudi

The geodesic motion of pseudo-classical spinning particles in Euclidean Taub-NUT space is analysed. The constants of motion are expressed in terms of Killing-Yano tensors. Some previous results from the literature are corrected.

High Energy Physics - Theory · Physics 2009-10-30 Diana Vaman , Mihai Visinescu

Higher order symmetries corresponding to Killing tensors are investigated. The intimate relation between Killing-Yano tensors and non-standard supersymmetries is pointed out. In the Dirac theory on curved spaces, Killing-Yano tensors…

Mathematical Physics · Physics 2010-12-06 Stere Ianus , Mihai Visinescu , Gabriel-Eduard Vilcu

The gravitational properties of the {\em only} static plane-symmetric vacuum solution of Einstein's field equations without cosmological term (Taub's solution, for brevity) are presented: some already known properties (geodesics, weak field…

General Relativity and Quantum Cosmology · Physics 2016-08-31 M. L. Bedran , M. O. Calvao , I. Damiao Soares , F. M. Paiva

We study a class of limits of the higher-dimensional Kerr-NUT-(A)dS spacetimes where particular roots of metric functions degenerate. Namely, we obtain the Taub-NUT-(A)dS and the extreme near-horizon geometries as two examples of our…

General Relativity and Quantum Cosmology · Physics 2017-07-06 Ivan Kolar , Pavel Krtous
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