2020
DOI: 10.1103/physrevd.101.024011
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Scale invariant gravity and black hole ringdown

Abstract: Scale invariant theories of gravity give a compelling explanation to the early and late time acceleration of the Universe. Unlike most scalar-tensor theories, fifth forces are absent and it would therefore seem impossible to distinguish scale invariant gravity from general relativity. We show that the ringdown of a Schwarschildde Sitter black hole may have a set of massive modes which are characteristic of scale invariant gravity. In principle these new modes can be used to distinguish scale invariant gravity … Show more

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Cited by 12 publications
(7 citation statements)
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“…As such, the background value of the scalar field η is zero and there is no mixing between the scalar fluctuations and the gravitational wave sector during, for example, ringdown. This is not the case with the scale invariant Starobinsky model [56]. There we have seen that there are two modes excitedthe Goldstone mode and a massive mode -which will excite the gravitational wave spectrum.…”
Section: E Black Holesmentioning
confidence: 77%
See 1 more Smart Citation
“…As such, the background value of the scalar field η is zero and there is no mixing between the scalar fluctuations and the gravitational wave sector during, for example, ringdown. This is not the case with the scale invariant Starobinsky model [56]. There we have seen that there are two modes excitedthe Goldstone mode and a massive mode -which will excite the gravitational wave spectrum.…”
Section: E Black Holesmentioning
confidence: 77%
“…Thus, and in principle, there is a distinctive signature in black hole ring down which would distinguish between the scale invariant and ordinary Starobinsky mode. In practice, however, the mass scale associated with the observable scalar mode is far too high to be detectable with current or future gravitational wave detectors (see discussion in [56]) .…”
Section: E Black Holesmentioning
confidence: 99%
“…here in a simple version given by Ferreira & Tattersall (2020), with ϕ the scalar field. As pointed out by these authors, the theory is invariant under g µν → λ 2 g µν and ϕ → λ −1 ϕ where λ is a constant.…”
Section: Scalar-tensor Versus Cotensor Theoriesmentioning
confidence: 99%
“…Instead the symmetry is broken dynamically as the scalar field(s) tend towards fixed equilibrium values under the influence of an expanding cosmology. This has been proposed as one element of a solution to the so-called hierarchy problem [16,30,34], and the phenomenological implications of such a theory have also generated substantial interest [35][36][37][38][39][40][41][42]. There is a massless Goldstone boson associated with the spontaneously broken symmetry, termed the "dilaton", σ, and as such we might be worried about fifth-force constraints.…”
Section: Introductionmentioning
confidence: 99%