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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Simulation

Hyperplane-Symmetric Static Einstein-Dirac Spacetime

arXiv
Authors: John Schliemann, Tim Sonnleitner

Year

2024

Paper ID

38435

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

We derive the general solution to the coupled Einstein and Dirac field equations in static and hyperplane-symmetric spacetime of arbitrary dimension including a cosmological constant of either sign. As a result, only a massful Dirac field couples via the Einstein equations to spacetime, and in the massless case the Dirac field is required to fulfill appropriate constraints in order to eliminate off-diagonal components of the energy-momentum tensor. We also give explicit expressions for curvature invariants including the Ricci scalar and the Kretschmann scalar, indicating physical singularities. Moreover, we reduce the general solution of the geodesic equation to quadratures.

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  • We derive the general solution to the coupled Einstein and Dirac field equations in static and hyperplane-symmetric spacetime of arbitrary dimension including a cosmological...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.04582 [2] arXiv https://arxiv.org/abs/2410.04582 [3] Publisher https://arxiv.org/abs/2410.04582

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