Existence of an infinite class of spherically-symmetric solutions to the multi-field Schrödinger-Poisson system is established via global minimization of the energy functional on rotationally invariant H1 functions with fixed L2 norms per component, with the minima shown to be orbitally stable.
A Further Analysis of a Cosmological Model of Quintessence and Scalar Dark Matter
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abstract
We present the complete solution to a 95% scalar field cosmological model in which the dark matter is modeled by a scalar field $\Phi$ with the scalar potential $V(\Phi)=V_{o}[ \cosh {(\lambda \sqrt{\kappa_{o}}\Phi)}-1]$ and the dark energy is modeled by a scalar field $\Psi$, endowed with the scalar potential $\tilde{V}(\Psi)=\tilde{V_{o}}[ \sinh {(\alpha \sqrt{\kappa_{o}}\Psi)}] ^{\beta}$. This model has only two free parameters, $\lambda$ and the equation of state $\omega_{\Psi}$. With these potentials, the fine tuning and the cosmic coincidence problems are ameliorated for both dark matter and dark energy and the models agrees with astronomical observations. For the scalar dark matter, we clarify the meaning of a scalar Jeans lenght and then the model predicts a suppression of the Mass Power Spectrum for small scales having a wave number $k > k_{min,\Phi}$, where $k_{min,\Phi} \simeq 4.5 h {\rm Mpc}^{-1}$ for $\lambda \simeq 20.28$. This last fact could help to explain the dearth of dwarf galaxies and the smoothness of galaxy core halos. From this, all parameters of the scalar dark matter potential are completely determined. The dark matter consists of an ultra-light particle, whose mass is $m_{\Phi} \simeq 1.1\times 10^{-23} {\rm eV}$ and all the success of the standard cold dark matter model is recovered. This implies that a scalar field could also be a good candidate as the dark matter of the Universe.
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Interacting scalar fields coupled to Gauss-Bonnet gravity yield viable dark energy and dark matter models that match Pantheon+ and DES supernova data while preferring over LambdaCDM at high redshifts with Roman mocks.
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Existence of nonrelativistic $\ell$- and multi-$\ell$-boson stars and their radial stability
Existence of an infinite class of spherically-symmetric solutions to the multi-field Schrödinger-Poisson system is established via global minimization of the energy functional on rotationally invariant H1 functions with fixed L2 norms per component, with the minima shown to be orbitally stable.
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Interacting Scalar Fields as Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
Interacting scalar fields coupled to Gauss-Bonnet gravity yield viable dark energy and dark matter models that match Pantheon+ and DES supernova data while preferring over LambdaCDM at high redshifts with Roman mocks.