2014
DOI: 10.1103/physrevd.89.047503
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Quantum versus classical instability of scalar fields in curved backgrounds

Abstract: General-relativistic stable spacetimes can be made unstable under the presence of certain nonminimally coupled free scalar fields. In this paper, we analyze the evolution of linear scalar-field perturbations in spherically symmetric spacetimes and compare the classical stability analysis with a recently discussed quantum field one. In particular, it is shown that vacuum fluctuations lead to natural seeds for the unstable phase, whereas in the classical framework the presence of such seeds in the initial condit… Show more

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Cited by 18 publications
(27 citation statements)
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“…(6)-(7) with respect to a small perturbation of the scalar field, ϕ ¼ ϕ 0 þ δϕ, which can have either classical or quantum [22,23] origins. Since Eqs.…”
Section: Stellar Stability In Scalar-tensor Theoriesmentioning
confidence: 99%
“…(6)-(7) with respect to a small perturbation of the scalar field, ϕ ¼ ϕ 0 þ δϕ, which can have either classical or quantum [22,23] origins. Since Eqs.…”
Section: Stellar Stability In Scalar-tensor Theoriesmentioning
confidence: 99%
“…Additionally, a semiclassical version of this effect [36] (cf. also [37][38][39][40] and [41] for a connection with the Damour-Esposito-Farèse model [15,16]) has been shown to awaken the vacuum state of a quantum field leading to an exponential growth of its vacuum energy density in the background of a relativistic star.…”
Section: A Spontaneous Scalarizationmentioning
confidence: 99%
“…For more on the relation between the instability and the scalarization process, see, e.g., Refs. [56][57][58][59].…”
Section: Conclusion and Final Remarksmentioning
confidence: 99%