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Casimir effect due to a slowly rotating source in the weak field approximation

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abstract

We calculate the renormalized vacuum energy density for a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed very close to the surface of a rotating spherical gravitational source with mass $M$, radius $R$ and momentum angular $J$, at the equatorial region. We consider that the source rotates slowly and that the gravitational field is weak. Corrections to the Casimir energy density induced by the gravitational field generated by this source are calculated up to $M/R^2$ order. The obtained results show us that there is an important modification in the Casimir energy only in this order of approximation, which depends on the surface gravity as well as on the rotation of the source. Thermal corrections to the Casimir energy found also are calculated in all these orders.

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hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

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Thermal Casimir Effect in A Schwarzschild-like Wormhole Spacetime

hep-th · 2026-05-26 · unverdicted · novelty 5.0

Calculates renormalized Casimir free energy and thermodynamic quantities for a scalar field in a wormhole spacetime at finite temperature, finding geometry-independent thermal corrections in the comoving frame.

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  • Thermal Casimir Effect in A Schwarzschild-like Wormhole Spacetime hep-th · 2026-05-26 · unverdicted · none · ref 32 · internal anchor

    Calculates renormalized Casimir free energy and thermodynamic quantities for a scalar field in a wormhole spacetime at finite temperature, finding geometry-independent thermal corrections in the comoving frame.