Turning a Newtonian analogy for FLRW cosmology into a relativistic problem
Valerio Faraoni, Farah Atieh
Abstract
A Newtonian uniform ball expanding in empty space constitutes a common heuristic analogy for FLRW cosmology. We discuss possible implementations of the corresponding general-relativistic problem and a variety of new cosmological analogies arising from them. We highlight essential ingredients of the Newtonian analogy, including the fact that the Hawking-Hayward quasilocal mass that is always ``Newtonian'' in the sense that the magnetic part of the Weyl tensor does not contribute to it. A symmetry of the Einstein-Friedmann equations produces another one in the original Newtonian system.
Topics & Concepts
AnalogyFriedmann–Lemaître–Robertson–Walker metricCosmologyNewtonian fluidPhysicsTheoretical physicsEinsteinClassical mechanicsFriedmann equationsQuantum cosmologyMathematical physicsDark energyPhilosophyAstrophysicsEpistemologyQuantum mechanicsQuantumQuantum gravityBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research