2006
DOI: 10.1016/j.physletb.2006.02.019
|View full text |Cite
|
Sign up to set email alerts
|

New multiply nutty spacetimes

Abstract: We construct new solutions of the vacuum Einstein field equations with multiple NUT parameters, with and without cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. We also find the the multiple nut parameter extension of the inhomogeneous Einstein metrics on complex line bundles found recently by Lü, Page and Pope. We also provide a more general form of the Eguchi-Hanson solitons found by Clarkson and Mann. We discuss the global structu… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

2
70
0

Year Published

2006
2006
2018
2018

Publication Types

Select...
9

Relationship

0
9

Authors

Journals

citations
Cited by 47 publications
(72 citation statements)
references
References 33 publications
2
70
0
Order By: Relevance
“…This solution (a particular case of solutions in [24,25]) has a horizon at the largest real root r = r + of f (r). The horizon geometry is H 2 ×S d−4 , where the hyperboloid H 2 has coordinates (σ, φ).…”
Section: Limits To Black Membranesmentioning
confidence: 99%
“…This solution (a particular case of solutions in [24,25]) has a horizon at the largest real root r = r + of f (r). The horizon geometry is H 2 ×S d−4 , where the hyperboloid H 2 has coordinates (σ, φ).…”
Section: Limits To Black Membranesmentioning
confidence: 99%
“…The solutions have a direct product structure of the extra S 1 with the base spacetime 1 . The extremal charged Kaluza-Klein black hole solutions with a twisted S 1 , space to higher-even-dimensional spaces are discussed in [56][57][58][59][60][61][62][63][64][65][66][67][68]. In this paper, we focus on the generalized Taub-NUT spaces in higher dimensions, which are not hyperkähler in general, as base spaces, and construct extremal charged solutions that have a twisted S 1 as an extra dimension explicitly.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore in the same paper [8], Kraus et al have also suggested the counterterms for 4-and 5-dimensional asymptotically flat space-times with boundary R 2 × S 2 or R × S 3 and given a formula to calculate the conserved charges. In a recent work [9], Mann and Stelea have proposed a counterterm in 5-dimensional space-times with boundary topology R 2 ֒→ S 2 . This counterterm is equivalent to the counterterm of Kraus et al when the space-times have the boundary topology R 2 × S 2 .…”
Section: Introductionmentioning
confidence: 99%