General Relativity and Perfect Fluid Models
Summary
General relativity describes gravitation as the curvature of spacetime sourced by energy and momentum. In many astrophysical and cosmological contexts, matter is idealised as a perfect fluid, whose stress–energy tensor is fully specified by its rest-frame energy density, pressure and four-velocity. Perfect fluid models underpin our understanding of stellar structure, gravitational collapse, neutron-star oscillations and cosmological expansion. The Einstein field equations couple the fluid’s equation of state to the spacetime metric, yielding richly varied solutions—from cosmological Friedmann–Lemaître universes to black holes with surrounding accretion flows. Advances in analytic and numerical methods have deepened insight into fluid dynamics in strong gravity, the emergence of singularities, horizon formation and global spacetime structure. Perfect fluid models also serve as laboratories for testing fundamental physics, including alternative gravity theories, the role of anisotropies, magnetic fields and dissipative processes. Their global significance spans the dynamics of the early universe, the evolution of compact objects and the generation of gravitational waves.
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General Relativity and Perfect Fluid Models publication trend
The graph below shows the total number of articles in general relativity and perfect fluid models across all publications each year (not limited to Nature Index journals).
Technical terms
Einstein field equations: Equations relating spacetime curvature to the stress–energy of matter and fields.
Perfect fluid: An idealised continuum with isotropic pressure, no viscosity or heat conduction, described by energy density ρ and pressure p.
Equation of state: A relation p=p(ρ) specifying the fluid’s thermodynamic behaviour.
Barotropic fluid: A fluid whose pressure is a single-valued function of its density.
Horizon: A null hypersurface beyond which events cannot influence an outside observer, characteristic of black holes and cosmological models.
References
- Rotating Melvin-like Universes and Wormholes in General Relativity. Symmetry (2020).
- Fluid black holes with electric field. European Physical Journal C (2019).
- Relativistic kinematic approach to the classical ideal gas. Classical and Quantum Gravity (2019).
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