Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Transformation of Primordial Cosmological Perturbations Under the General Extended Disformal Transformation (2005.12747v5)

Published 24 May 2020 in gr-qc, astro-ph.CO, and hep-th

Abstract: Primordial cosmological perturbations are the seeds that were cultivated by inflation and the succeeding dynamical processes, eventually leading to the current Universe. In this work, we investigate the behavior of the gauge-invariant scalar and tensor perturbations under the general extended disformal transformation, namely, $g_{\mu\nu} \rightarrow A(X,Y,Z)g_{\mu\nu} + \Phi_\mu\Phi_\nu$, where $X \equiv -\tfrac{1}{2}\phi{;\mu}\phi_{;\mu}, Y \equiv \phi{;\mu}X_{;\mu}, Z \equiv X{;\mu}X_{;\mu} $ and $\Phi_\mu \equiv C\phi_{;\mu} + DX_{;\mu}$, with $C$ and $D$ being a general functional of $(\phi,X,Y,Z)$. We find that the tensor perturbation is invariant under this transformation. On the other hand, the scalar curvature perturbation receives a correction due the conformal term only; it is independent of the disformal term at least up to linear order. Within the framework of the full Horndeski theory, the correction terms turn out to depend linearly on the gauge-invariant comoving density perturbation and the first time-derivative thereof. In the superhorizon limit, all these correction terms vanish, leaving only the original scalar curvature perturbation. In other words, it is invariant under the general extended disformal transformation in the superhorizon limit, in the context of full Horndeski theory. Our work encompasses a chain of research studies on the transformation or invariance of the primordial cosmological perturbations, generalizing their results under our general extended disformal transformation.

Summary

We haven't generated a summary for this paper yet.