TL;DR
This paper investigates the properties of oscillatons, spherically symmetric oscillating scalar field stars, exploring their relation to boson stars and implications for scalar field dark matter models.
Contribution
It provides a detailed analysis of oscillatons with quadratic, quartic, and cosh scalar potentials, and examines their connection to boson stars.
Findings
Oscillatons exhibit oscillatory behavior in scalar fields and metrics.
The stationary limit procedure links oscillatons to boson stars.
Oscillatons could be relevant in scalar field dark matter scenarios.
Abstract
In this paper, we study some interesting properties of a spherically symmetric oscillating soliton star made of a real time-dependent scalar field which is called an oscillaton. The known final configuration of an oscillaton consists of a stationary stage in which the scalar field and the metric coefficients oscillate in time if the scalar potential is quadratic. The differential equations that arise in the simplest approximation, that of coherent scalar oscillations, are presented for a quadratic scalar potential. This allows us to take a closer look at the interesting properties of these oscillating objects. The leading terms of the solutions considering a quartic and a cosh scalar potentials are worked in the so called stationary limit procedure. This procedure reveals the form in which oscillatons and boson stars may be related and useful information about oscillatons is obtained…
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