Regularized dualities in patch cosmology

TL;DR

This paper investigates symmetries and dualities in Hamilton-Jacobi equations within patch cosmology, revealing new dual solutions including contracting and phantom-like scenarios in braneworld and tachyon models.

Contribution

It introduces a systematic analysis of dualities in patch cosmology, expanding understanding of symmetries and solutions in braneworld and tachyon frameworks.

Findings

Established dualities between different cosmological patches.

Constructed regular dual solutions, including contracting and phantom-like cases.

Enhanced the theoretical understanding of symmetries in generalized cosmological models.

Abstract

Following past investigations, we explore the symmetries of the Hamilton-Jacobi cosmological equations in the generalized patch formalism describing braneworld and tachyon scenarios. Dualities between different patches are established and regular dual solutions, either contracting or phantom-like, are constructed.