1999/08/05 by S. Mahapatra, Swapna Mahapatra, Mahapatra, Swapna · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9908048
Latex file, 12 pages
arxiv created 1999/08/05 · openalex publication_date 1999/08/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note, we review various seemingly different ways of obtaining Eguchi-Hanson metric with or without a cosmological constant term. Interestingly, the conformal class of metric corresponding to hyperbolic n-monopole solution obtained from the generalized Gibbons-Hawking ansatz, reduces to the Eguchi-Hanson metric in a particular limit. These results, though known from an algebraic geometry point of view, are useful while dealing with rotational killing symmetry of self-dual metrics in general theory of relativity as well as in the context of duality symmetry in string theory.