Gravity and antigravity in a brane world with metastable gravitons : Comment on hep-th/0002190 and hep-th/0003020
Ruth Gregory, Valery A. Rubakov, Sergei M. Sibiryakov

TL;DR
This paper examines a five-dimensional brane model with quasi-localized gravitons, showing that gravity behaves like General Relativity at intermediate scales but transitions to scalar anti-gravity at ultra-large distances, highlighting novel long-range effects.
Contribution
It provides a detailed analysis of metric perturbations in a brane model, revealing a scale-dependent transition from tensor to scalar gravity, contrasting previous models.
Findings
Gravity matches General Relativity at intermediate distances.
At ultra-large distances, gravity becomes scalar anti-gravity.
The model challenges conventional understanding of long-range gravity effects.
Abstract
In the framework of a five-dimensional three-brane model with quasi-localized gravitons we evaluate metric perturbations induced on the positive tension brane by matter residing thereon. We find that at intermediate distances, the effective four-dimensional theory coincides, up to small corrections, with General Relativity. This is in accord with Csaki, Erlich and Hollowood and in contrast to Dvali, Gabadadze and Porrati. We show, however, that at ultra-large distances this effective four-dimensional theory becomes dramatically different: conventional tensor gravity changes into scalar anti-gravity.
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