Living Reviews in Relativity

"Dynamical Boson Stars"
by
Steven L. Liebling and Carlos Palenzuela 

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Abstract
1 Introduction
1.1 The nature of a boson star
1.2 Other reviews
2 Solving for Boson Stars
2.1 Conventions
2.2 The Lagrangian, evolution equations and conserved quantities
2.3 The 3+1 decomposition of the spacetime
2.4 Mini-boson stars
3 Varieties of Boson Stars
3.1 Self-interaction potentials
3.2 Newtonian boson stars
3.3 Charged boson stars
3.4 Oscillatons
3.5 Rotating boson stars
3.6 Fermionic-bosonic stars
3.7 Multi-state boson stars
3.8 Alternative theories of gravity
3.9 Gauged boson stars
4 Dynamics of Boson Stars
4.1 Gravitational stability
4.2 Dynamics of binary boson stars
5 Boson Stars in Astronomy
5.1 As astrophysical stellar objects
5.2 Compact alternatives to black holes
5.3 As origin of dark matter
6 Boson Stars in Mathematical Relativity
6.1 Black hole critical behavior
6.2 Hoop conjecture
6.3 Other dimensions
7 Final Remarks
8 Acknowledgments
Open References References
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