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Gravity of monopole and string and the gravitational constant in 3He-A

1998/04/07 by G. E. Volovik, E. Volovik · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Constant (computer programming) #Cosmology and Gravitation Theories #Gravitation #Gravitational constant #Magnetic monopole #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #String (physics) #Theoretical physics #cond-mat #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1134/1.567704

published as JETP Lett. 67 (1998) 698-704; Pisma Zh.Eksp.Teor.Fiz. 67 (1998) 666-671 · Latex file, 10 pages, no figures

arxiv created 1998/04/07 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We discuss the effective metric produced in superfluid 3He-A by such topological objects as the radial disgyration and monopole. In relativistic theories these metrics are similar to that of the local string and global monopole, respectively. But in 3He-A they have a negative angle deficit, which corresponds to a negative mass of the topological objects. The effective gravitational constant in superfluid 3He-A, deduced from a comparison with relativistic theories, is G∼Δ−2, where the gap amplitude Δ plays the part of the Planck energy. G depends on temperature roughly as (1−T 2/T 2 )−2 and corresponds to a screening of Newton’s constant.

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