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Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

It is shown that flat spacetime can be dressed with a real scalar field that satisfies the nonlinear Klein-Gordon equation without curving spacetime. Surprisingly, this possibility arises from the nonminimal coupling of the scalar field with the curvature, since a footprint of the coupling remains in the energy-momentum tensor even when gravity is switched off. Requiring the existence of solutions with vanishing energy-momentum tensor fixes the self-interaction potential as a local function of the scalar field depending on two coupling constants. The solutions describe shock waves and, in the Euclidean continuation, instanton configurations in any dimension. As a consequence of this effect, the tachyonic solutions of the free massive Klein-Gordon equation become part of the vacuum.

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gr-qc 1 hep-th 1

years

2026 1 2025 1

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UNVERDICTED 2

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representative citing papers

Cosmological Stealth fields and Non-Equilibrium thermodynamics

gr-qc · 2026-06-30 · unverdicted · novelty 5.0

Stealth scalar fields in dissipative FLRW cosmology obey a generalized Riccati equation with dissipative pressure as driving term, admitting a stable entropy-selected attractor and an unstable repeller that track non-equilibrium evolution to de Sitter.

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  • A new rotating axionic AdS$_4$ black hole dressed with a scalar field hep-th · 2025-04-23 · unverdicted · none · ref 88 · internal anchor

    A new axionically charged rotating AdS4 black hole solution with scalar field is presented, defined by a structural function and parameters, with thermodynamics derived via Euclidean method satisfying the first law.