Scale invariant gravity and black hole ringdown

Ferreira, Pedro G.; Tattersall, Oliver J.

doi:10.1103/physrevd.101.024011

Cited by 12 publications

(7 citation statements)

References 96 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

See 1 more Smart Citation

$R^2$/Higgs inflation and the hierarchy problem

Ferreira,

Hill,

Noller

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We analyse Starobinsky inflation in the presence of the Brout Englert Higgs (BEH) boson with a non-minimal coupling to the Ricci scalar, R. The latter induces a coupling of the massive scaleron associated with the R 2 term to the BEH boson and this leads to a radiative correction to the BEH mass that must be fine tuned to keep the scalar light. For the case of R 2 driven inflation this requires a high level of fine tuning of order 1 part in 10 8 ; for the case of Higgs inflation it is very much greater. We consider a scale invariant extension of the R 2 /Higgs model and find that for R 2 driven inflation but not for Higgs inflation the required fine tuning is significantly reduced to one part in 10 3−4 . We consider the vacuum stability of the fine tuned model and its reheating and dilaton abundance after inflation. We also discuss possible gravitational wave signals associated with the model and the constraint on the mass of scalar or fermion dark matter candidates if they are produced by the gravitational couplings of the scalaron.

show abstract

Section: E Black Holesmentioning

confidence: 77%

Section: E Black Holesmentioning

confidence: 99%

$R^2$/Higgs inflation and the hierarchy problem

Ferreira,

Hill,

Noller

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…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%

MOND as a peculiar case of the SIV theory

Maeder¹

2023

Preprint

View full text Add to dashboard Cite

The scale invariant theory is preserving the fundamental physical properties of General Relativity, while enlarging the group of invariances subtending gravitation theory (Dirac1973; Canuto et al.1977). The Scale Invariant Vacuum (SIV) theory assumes, as gauging condition, that "The macroscopic empty space is scale invariant, homogeneous and isotropic". Some basic properties in Weyl's Integrable Geometry and cotensor calculus are examined in relation with scalar-tensor theories. Possible scale invariant effects are strongly reduced by matter density, both at the cosmological and local levels. The weak field limit of SIV tends to MOND, when the scale factor is taken as constant, an approximation valid (<1%) over the last 400 Myr. A better understanding of the a 0 -parameter is obtained: it corresponds to the equilibrium point of the Newtonian and SIV dynamical acceleration. Parameter a 0 is not a universal constant, it depends on the density and age of the Universe. As MOND is doing, SIV theory avoids the call to dark matter, moreover the cosmological models predict accelerated expansion.

show abstract

“…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%

Fifth forces and frame invariance

Bamber¹

2022

Preprint

View full text Add to dashboard Cite

I discuss how one can apply the covariant formalism developed by Vilkovisky and DeWitt to obtain frame invariant fifth force calculations for scalar-tensor theories. Fifth forces are severely constrained by astrophysical measurements. It was shown previously that for scale-invariant Higgs-dilaton gravity, in a particular choice of Jordan frame, the dilaton fifth force is dramatically suppressed, evading the observational constraints. Using a geometric approach I extend this result to all frames, and show that the usual dichotomy of "Jordan frame" versus "Einstein frame" is better understood as a continuum of frames: submanifold slices of a more general field space.

show abstract

Scale invariant gravity and black hole ringdown

Cited by 12 publications

References 96 publications

$R^2$/Higgs inflation and the hierarchy problem

$R^2$/Higgs inflation and the hierarchy problem

MOND as a peculiar case of the SIV theory

Fifth forces and frame invariance

Contact Info

Product

Resources

About