Towards a novel approach to semi-classical gravity
arXiv:1902.02188 · doi:10.1017/9781316535783.019
Abstract
Semi-classical gravity is an approximation to quantum gravity where gravity is treated classically and matter quantum mechanically. Matter is described by quantum field theory on curved space-time, whereas gravity is described by a space-time metric which satisfies Einstein's field equations. In the usual approach to semi-classical gravity, the matter source term in Einstein's field equations is given by the expectation value of the energy-momentum tensor operator. In this paper, we suggest an alternative approach based on Bohmian mechanics. In Bohmian mechanics, a quantum system is described by an actual configuration (e.g., an actual scalar field), which evolves under the influence of the wave function. The idea is to consider the actual energy-momentum tensor corresponding to this configuration as the matter source term in Einstein's field equations. This approach is expected to improve upon the usual approach.
19, no figures. arXiv admin note: significant overlap with arXiv:1507.04771
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Cited by in corpus (8)
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- Testing de Broglie's double solution in the mesoscopic regime
- Comparison of the mean field and Bohmian semi-classical approximations to the Rabi model
- Gravitational quantum collapse in dilute systems
- Wave mechanics for gravity with point-particles