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.
Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
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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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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.
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Cosmological Stealth fields and Non-Equilibrium thermodynamics
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.