Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

2 results

  • 33 - Nontrivial topologies: gravitational instantons, Taub–NUT, KK monopole, and Gödel spacetimes

  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book:
    General Relativity
    Print publication:
    08 May 2025, pp 362-374

  • Summary

    We describe nontrivial topologies. First, we describe the Taub–NUT solutions. Then the Taub–NUT of Hawking and the Taub solution, as gravitational instantons. Then the Eguchi–Hanson metric, obtained from a Yang–Mills like instanton ansatz. Then the Gibbons–Hawking multi-instanton. The KK monopole is shown to be an example of application of the Taub–NUT instanton. Finally, we describe the Gödel Universe, a rotating solution with closed timelike curves (CTCs), even though the source is standard, just dust matter and cosmological constant.

  • 46 - Vielbein-Spin Connection Formulation of General Relativity and Gravitational Instantons

  • from Part III - Other Spins or Statistics; General Relativity
  • Horaƫiu Năstase, Universidade Estadual Paulista, São Paulo
  • Book:
    Classical Field Theory
    Published online:
    04 March 2019
    Print publication:
    14 March 2019, pp 441-454

  • Summary

    We start by defining the vielbein-spin connection formulation of general relativity and the Palatini formalism. Next we define the Taub–NUT solutions and their analytical continuation, the Euclidean gravitational instanton defined by Hawking. Next, following the example of the Yang–Mills instanton, we write the Einstein equations in Euclidean signature as self-duality equations for the spin connection, which we solve by an instanton ansatz, obtaining the Eguchi–Hanson metric, and example of ALE space. We rewrite it and generalize it in the form of the Gibbons–Hawking multi-instanton solution.