# Boson and Dirac stars in $D\geq 4$ dimensions

## TL;DR

This paper compares boson and Dirac star solutions in higher-dimensional spacetimes, highlighting their similarities and differences across various dimensions, with particular focus on the unique cases of D=4 and D=5.

## Contribution

It provides a systematic analysis of spherically symmetric solutions for different spins in D-dimensional spacetime, emphasizing the mathematical and physical distinctions between bosonic and fermionic fields.

## Key findings

- Solutions depend mainly on spacetime dimensionality.
- D=4 and D=5 are special cases with distinct features.
- Generic pattern of solutions is similar across spins.

## Abstract

We present a comparative study of spherically symmetric, localized, particle-like solutions for spin $s=0,1/2$ and $1$ gravitating fields in a $D$-dimensional, asymptotically flat spacetime. These fields are massive, possessing a harmonic time dependence and no self-interaction. Special attention is paid to the mathematical similarities and physical differences between the bosonic and fermonic cases. We find that the generic pattern of solutions is similar for any value of the spin $s$, depending only on the dimensionality of spacetime, the cases $D=4,5$ being special.