Gravity of Monopole and String and Gravitational Constant in 3He-A

Abstract

We discuss the effective metric produced in superfluid 3He-A by such topological objects as radial disgyration and monopole. In relativistic theories these metrics are similar to that of the local string and global monopole correspondingly. But in 3He-A they have the negative angle deficit, which corresponds to the negative mass of the topological objects. The effective gravitational constant G in superfluid 3He-A, derived from the comparison with relativistic theories, is inversely proportional to the square of the gap amplitude Delta, which plays the part of the Planck energy cut-off. G depends on temperature and increases with T, which corresponds to the vacuum screening of the Newton's constant.

Latex file, 10 pages, no figures

References in corpus (7)

• The Black Hole in Three Dimensional Space Time
• Nonperturbative Evolution Equation for Quantum Gravity
• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Event horizons and ergoregions in 3He
• Aspects of ${}^3$He and the Standard Electroweak Model
• Spacetime structure of an inflating global monopole
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• Scharnhorst effect at oblique incidence
• Polarization of the fermionic vacuum by a global monopole with finite core
• Repulsive Casimir-Polder forces from cosmic strings
• Quantum gravity as a Fermi liquid
• Axial anomaly in 3He-A: Simulation of baryogenesis and generation of primordial magnetic field in Manchester and Helsinki
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• The cosmological constant: A lesson from the effective gravity of topological Weyl media
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• Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background
• Geometric Phase for Fermionic Quasiparticles Scattering by Disgyration in Superfluids
• The spectrum of the Schrödinger Hamiltonian for trapped particles in a cylinder with a topological defect perturbed by two attractive delta interactions
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