English

Lagrangian Description in the context of Emergent spacetime

General Relativity and Quantum Cosmology 2019-10-01 v2

Abstract

We make use of the Lagrangian description of fluid motion to highlight certain features in the context of spacetime geometry as emergent phenomena in fluid systems. We find by using Lagrangian Perturbation Theory (LPT), that not all kind of perturbations on a steady state flow can produce analogue spacetime effect. We also explore the manifold structure of emergent spacetime by using the Lagrangian description of fluid motion. We restrict ourselves to nonrelativistic flows.

Keywords

Cite

@article{arxiv.1807.02586,
  title  = {Lagrangian Description in the context of Emergent spacetime},
  author = {Satadal Datta},
  journal= {arXiv preprint arXiv:1807.02586},
  year   = {2019}
}

Comments

The paper has been withdrawn since the author has recently found a major mistake in section 5.4. The entire work has now been redone (following a new direction) and expanded, and the modified/corrected/expanded manuscript (written with a co-author) will soon be submitted in the arxive as a fresh/new submission