A generalised Garfinkle–Vachaspati transform

• Published in: General relativity and gravitation Vol. 50; no. 12; pp. 1 - 40
• Main Authors: Mishra, Deepali, Srivastava, Yogesh K., Virmani, Amitabh
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2018; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Classical and Quantum Gravitation; Deformation; Differential Geometry; Gravity; Hyperspaces; Mathematical analysis; Mathematical and Computational Physics; Physics; Physics and Astronomy; Quantum Physics; Relativity Theory; Research Article; Spacetime; Supergravity; Supersymmetry; The Fuzzball Paradigm; Theoretical; Toruses; Vectors (mathematics); D1–D5 system; Fuzzball paradigm; Garfinkle–Vachaspati transform

The Garfinkle–Vachaspati transform is a deformation of a metric in terms of a null, hypersurface orthogonal, Killing vector k μ . We explore a generalisation of this deformation in type IIB supergravity taking motivation from certain studies of the D1–D5 system. We consider solutions of minimal six-...