The special nontopological scalar solitons in anti de Sitter spacetimes

TL;DR

This paper analytically investigates the existence of special nontopological scalar solitons in anti de Sitter spacetimes, identifying specific mass conditions under which these solitons can exist.

Contribution

It provides analytical conditions for the existence of nontopological scalar solitons in anti de Sitter spacetime, expanding understanding of soliton solutions in curved backgrounds.

Findings

Existence of scalar solitons under specific mass conditions

Analytical derivation using series expansion methods

Identification of necessary conditions for soliton stability

Abstract

In this letter the nontopological scalar solitons are investigated in an anti de Sitter spacetime. We find analytically that the solitons obeying the necessary conditions $m=\frac{2}{\sqrt{3}}|\Lambda|^{{1/2}}$ or $m=\sqrt{\frac{2(n+3)(2n+3)}{3}}|\Lambda|^{{1/2}}$ can exist in the background by means of the series expansion.