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- W4313443335 abstract "We use the Klein-Gordon equation in a curved spacetime to construct the relativistic analog of the Schrodinger-Newton problem, where a scalar particle lives in a gravitational potential well generated by its own probability distribution. A static, spherically symmetric metric is computed from the field equations of general relativity, both directly and as modeled by a perfect-fluid assumption that uses the Tolman-Oppenheimer-Volkov equation for hydrostatic equilibrium of the mass density. The latter is appropriate for a Hartree approximation to the many-body problem of a bosonic star. Simultaneous self-consistent solution of the Klein--Gordon equation in this curved spacetime then yields solitons with a range of radial excitations. We compare results with the nonrelativistic case." @default.
- W4313443335 created "2023-01-06" @default.
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- W4313443335 date "2022-12-28" @default.
- W4313443335 modified "2023-09-27" @default.
- W4313443335 title "Gravitational soliton solutions to self-coupled Klein-Gordon and Schrodinger equations" @default.
- W4313443335 doi "https://doi.org/10.48550/arxiv.2212.14166" @default.
- W4313443335 hasPublicationYear "2022" @default.
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