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Title: Taub-NUT from the Dirac monopole

Journal Article · · Physics Letters. B
 [1]; ORCiD logo [2];  [3]
  1. Albert Einstein Inst., Potsdam (Germany). Max-Planck-Institut für Gravitationsphysik
  2. Queen Mary Univ. of London (United Kingdom). School of Mathematical Sciences
  3. Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Inst. for Fundamental Physics and Astronomy; Cambridge Univ. (United Kingdom). Centre for Mathematical Sciences. DAMTP
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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 flat spacetimes, including stationary solutions, contains a Maxwell gauge field as free data. Choosing this gauge field to correspond to the Dirac monopole, we derive the Taub-NUT solution in Bondi coordinates.

Research Organization:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC); USDOE
Grant/Contract Number:
SC0010813
OSTI ID:
1564527
Alternate ID(s):
OSTI ID: 1802169
Journal Information:
Physics Letters. B, Vol. 798, Issue C; ISSN 0370-2693
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 15 works
Citation information provided by
Web of Science

References (10)

New dual gravitational charges journal January 2019
Exact Solutions of Einstein's Field Equations book January 2009
Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time journal October 1962
Characteristic Evolution and Matching journal April 2009
Extraction of gravitational waves in numerical relativity journal October 2016
The classical double copy for Taub–NUT spacetime journal November 2015
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
  • Bondi, Hermann; Van der Burg, M. G. J.; Metzner, A. W. K.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 269, Issue 1336, p. 21-52 https://doi.org/10.1098/rspa.1962.0161
journal August 1962
Characteristic Evolution and Matching journal April 2009
The classical double copy for Taub-NUT spacetime text January 2015
Tower of subleading dual BMS charges text January 2018

Cited By (5)

The Classical Double Copy of a Point Charge text January 2019
Dual charges for AdS spacetimes and the first law of black hole mechanics journal July 2022
Gravitational Wu-Yang Monopoles text January 2020
The Weyl Double Copy for Gravitational Waves text January 2020
Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics text January 2020

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79 ASTRONOMY AND ASTROPHYSICS
Astronomy & Astrophysics
Physics