Criteria for energy conditions
Hideki Maeda, Tomohiro Harada
Abstract
Abstract In model building studies, it is important to check the energy conditions for the corresponding energy–momentum tensor determined by the gravitational field equations in order to single out physically reasonable models. In this process, one often encounters a situation where the energy–momentum tensor has one off-diagonal ‘space–time’ component in the frame with an orthonormal basis in a given spacetime. We derive useful criteria of energy–momentum tensors for their Hawking–Ellis types and the standard energy conditions in such situations. As demonstrations, we apply those criteria to four different systems.
Topics & Concepts
PhysicsSpacetimeOrthonormal basisTensor (intrinsic definition)Stress–energy tensorEnergy (signal processing)Theoretical physicsDiagonalGravitational fieldGravitational energyEnergy–momentum relationMathematical physicsBasis (linear algebra)Classical mechanicsMomentum (technical analysis)Exact solutions in general relativityQuantum mechanicsPure mathematicsGeometryFinanceMathematicsEconomicsQuantum Electrodynamics and Casimir EffectCosmology and Gravitation TheoriesBlack Holes and Theoretical Physics