Cosmological number counts in Einstein and Jordan frames

Francfort, Jérémie; Ghosh, Basundhara; Durrer, Ruth

doi:10.1088/1475-7516/2019/09/071

Cited by 21 publications

(11 citation statements)

References 13 publications

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“…(48), to the other, Eqs (16) -Eqs. (21). This straightforwardly shows that the anti-gravity transformations are canonical.…”

Section: Anti-gravity Transformationsmentioning

confidence: 65%

Jordan and Einstein frames Hamiltonian analysis for FLRW Brans-Dicke theory

Galaverni¹,

Gionti²,

J³

2021

Preprint

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We analyze Hamiltonian equivalence between Jordan and Einstein frames considering a minisuperspace model of flat Friedmann-Lemaître-Robertson-Walker (FLRW) Universe in Brans-Dicke theory. Hamiltonian equations of motion are derived in the Jordan, Einstein, and in the antigravity (or anti-Newtonian) frames. We show that applying the Weyl (conformal) transformations to the equations of motion in the Einstein frame we did not get the equations of motion in the Jordan frame. Vice-versa, we re-obtain the equations of motion in the Jordan frame applying the anti-gravity inverse transformation to the equation of motion in the anti-gravity frame.I.

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“…(48), to the other, Eqs (16) -Eqs. (21). This straightforwardly shows that the anti-gravity transformations are canonical.…”

Section: Anti-gravity Transformationsmentioning

confidence: 65%

Jordan and Einstein frames Hamiltonian analysis for FLRW Brans-Dicke theory

Galaverni¹,

Gionti²,

J³

2021

Preprint

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“…Tightly connected to it, there is the question of whether Jordan and Einstein frames are really physically equivalent. In fact, in the literature, there exist articles claiming their physical equivalence [20][21][22], as well as their in-equivalence [23][24][25].…”

Section: Discussionmentioning

confidence: 99%

Jordan and Einstein Frames Hamiltonian Analysis for FLRW Brans-Dicke Theory

Galaverni¹,

Gionti²,

J³

2021

Universe

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We analyze the Hamiltonian equivalence between Jordan and Einstein frames considering a mini-superspace model of the flat Friedmann–Lemaître–Robertson–Walker (FLRW) Universe in the Brans–Dicke theory. Hamiltonian equations of motion are derived in the Jordan, Einstein, and anti-gravity (or anti-Newtonian) frames. We show that, when applying the Weyl (conformal) transformations to the equations of motion in the Einstein frame, we did not obtain the equations of motion in the Jordan frame. Vice-versa, we re-obtain the equations of motion in the Jordan frame by applying the anti-gravity inverse transformation to the equations of motion in the anti-gravity frame.

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“…Ref. [50] for a detailed example with conformal transformations in cosmology -but they change the physical interpretation of the metric. Indeed, since gµν is, in general, nonminimally coupled to matter, it does not indicate the times and distances actually measured by an observer.…”

Section: A Horndeski's Actionmentioning

confidence: 99%

Horndeski gravity and standard sirens

Dalang,

Fleury,

Lombriser

2019

Preprint

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Standard sirens have been proposed as probes of alternative theories of gravity, such as Horndeski models. Hitherto, all studies have been conducted on a homogeneous-isotropic cosmological background, which is unable to consistently account for realistic distributions of matter, and for inhomogeneities in the Horndeski scalar field. Yet, the latter are essential for screening mechanisms. In this article, we comprehensively analyze the propagation of Horndeski gravitational waves in an arbitrary background spacetime and scalar field. We restrict to the class of theories in which gravitational waves propagate at light speed, and work in the geometric-optics regime. We find that kinetic braiding only produces a nonphysical longitudinal mode, whereas conformal coupling affects the amplitude of the standard transverse modes but not their polarization. We confirm that any observable deviation from general relativity depends on the local value of the effective Planck mass at emission and reception of the wave. This result is interpreted as the conservation of the number of gravitons. I. INTRODUCTION: HORNDESKI'S ODYSSEYTell me of a complicated theory. Urania, tell me how it wandered and was lost when it had attempted to replace the relativity of Einstein.1

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Cosmological number counts in Einstein and Jordan frames

Cited by 21 publications

References 13 publications

Jordan and Einstein frames Hamiltonian analysis for FLRW Brans-Dicke theory

Jordan and Einstein frames Hamiltonian analysis for FLRW Brans-Dicke theory

Jordan and Einstein Frames Hamiltonian Analysis for FLRW Brans-Dicke Theory

Horndeski gravity and standard sirens

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