The KLT relations in unimodular gravity

Burger, Daniel J; Ellis, George; Murugan, Jeff; Weltman, Amanda

doi:10.48550/arxiv.1511.08517

Cited by 8 publications

(10 citation statements)

References 18 publications

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“…UG and GR are known to be almost identical at the classical level. Besides the equations of motion, this has been seen also in the tree-level amplitudes [25,26]. The question is then whether this persists when loop effects are taken into account.…”

Section: Discussionmentioning

confidence: 94%

Path integral of unimodular gravity

2018

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Section: Discussionmentioning

confidence: 94%

Path integral of unimodular gravity

2018

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“…Unimodular gravity satisfies the condition (A) as it is equivalent to the Fierz-Pauli theory at the linear level [55]. (B) and (D) are also satisfied, as unimodular gravity shares the 3-point amplitudes with general relativity and its interaction vertices are quadratic in the momenta [57,58]. On the other hand, its propagator behaves as 1/p 2 for large (off-shell) momenta, thus satisfying (C), with m = 4.…”

Section: B Scattering Amplitudes Of Unimodular Gravitymentioning

confidence: 98%

Taming higher-derivative interactions and bootstrapping gravity with soft theorems

Carballo-Rubio

Filippo

Moynihan

2019

J. Cosmol. Astropart. Phys.

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On-shell constructibility is redefining our understanding of perturbative quantum field theory.The tree-level S-matrix of constructible theories is completely determined by a set of recurrence relations and a reduced number of scattering amplitudes. In this paper, we revisit the on-shell constructibility of gravitational theories making use of new results on soft theorems and recurrence relations. We show that using a double complex shift and an all-line soft deformation allows us to relax the technical conditions for constructibility, in order to include more general propagators and higher-derivative interactions that prevent using conventional Britto-Cachazo-Feng-Witten (BCFW) shifts. From this result we extract a set of criteria that guarantee that a given gravitational action has the same tree-level S-matrix in Minkowski spacetime as general relativity, which implies the equivalence at all orders in perturbation theory between these classical field theories on asymptotically flat spacetimes. As a corollary we deduce that the scattering amplitudes of general relativity and unimodular gravity are the same for an arbitrary number of external particles (as long as the S-matrix of the latter is unitary), thus extending previous works that were able to deal only with n = 4 and n = 5 amplitudes.

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“…The formalism we shall present constitutes a reconstruction method, and we now we shall briefly present the essential features of this reconstruction method. The standard Einstein gravity approach for unimodular gravity [470,472,475,477,[479][480][481][482][483][484][485], is based on the basic assumption that the determinant of the metric is a fixed number, so that the metric satisfies g µν δg µν = 0, which in effect implies that the various components of the metric can be appropriately adjusted, so that the resulting determinant of the metric √ −g is some fixed function of space-time. Hence, it can be assumed, that the metric tensor satisfies the unimodular constraint of Eq.…”

Section: Unimodular Mimetic Gravitymentioning

confidence: 99%

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Nojiri,

Odintsov,

Oikonomou

2017

Preprint

192

325

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We systematically review some standard issues and also the latest developments of modified gravity in cosmology, emphasizing on inflation, bouncing cosmology and late-time acceleration era. Particularly, we present the formalism of standard modified gravity theory representatives, like F (R), F (G) and F (T ) gravity theories, but also several alternative theoretical proposals which appeared in the literature during the last decade. We emphasize on the formalism developed for these theories and we explain how these theories can be considered as viable descriptions for our Universe. Using these theories, we present how a viable inflationary era can be produced in the context of these theories, with the viability being justified if compatibility with the latest observational data is achieved. Also we demonstrate how bouncing cosmologies can actually be described by these theories. Moreover, we systematically discuss several qualitative features of the dark energy era by using the modified gravity formalism, and also we critically discuss how a unified description of inflation with dark energy era can be described by solely using the modified gravity framework. Finally, we also discuss some astrophysical solutions in the context of modified gravity, and several qualitative features of these solutions. The aim of this review is to gather the different modified gravity techniques and form a virtual modified gravity "toolbox", which will contain all the necessary information on inflation, dark energy and bouncing cosmologies in the context of the various forms of modified gravity.

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The KLT relations in unimodular gravity

Cited by 8 publications

References 18 publications

Path integral of unimodular gravity

Path integral of unimodular gravity

Taming higher-derivative interactions and bootstrapping gravity with soft theorems

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

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