Fluids, Superfluids and Supersolids: Dynamics and Cosmology of Self Gravitating Media

Abstract

We compute cosmological perturbations for a generic self-gravitating media described by four derivatively- coupled scalar fields. Depending on the internal symmetries of the action for the scalar fields, one can describe perfect fluids, superfluids, solids and supersolids media. Symmetries dictate both dynamical and thermodynamical properties of the media. Generically, scalar perturbations include, besides the gravitational potential, an additional non-adiabatic mode associated with the entropy per particle σ. While perfect fluids and solids are adiabatic with σ constant in time, superfluids and supersolids feature a non-trivial dynamics for σ. Special classes of isentropic media with zero σ can also be found. Tensor modes become massive for solids and supersolids. Such an effective approach can be used to give a very general and symmetry driven modelling of the dark sector.

26 pages, no figures. Final version published in JCAP with few typos corrected

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• Boosting GWs in Supersolid Inflation
• Primordial Stochastic Gravitational Wave Background Anisotropies: in-in Formalization and Applications
• Superfluids and the Cosmological Constant Problem
• Primordial Non-Gaussianity in Supersolid Inflation
• Gravitational metamaterials from optical properties of spacetime media
• Intrinsic Entropy Perturbations from the Dark Sector
• Self-gravitating $\Lambda$-media
• On the 6th Mode in Massive Gravity
• Phenomenology of minimal theory of quasidilaton massive gravity
• Adiabatic Media Inflation
• Dynamical diffeomorphisms
• Classical and Quantum Dynamics of Gyroscopic Systems and Dark Energy
• The Ogievetsky-Polubarinov massive gravity and the benign Boulware-Deser mode
• Multifield curved solid: Early dark energy and perturbation instabilities
• Primordial gravitational waves and perturbations during an inhomogeneous inflation