Publication

Extension of a recent method for obtaining exact solutions of the Bruce and Klute equation

David Andrew Barry
2010
Journal Articles

Résumé

A recent method based on a specific power-law relationship between the matric potential head and the Boltzmann variable was presented by Prevedello et. al. (2008). Here, this relationship was generalized to a range of powers, and the solution extended to include the saturated zone. As a result, the new solution satisfies the Bruce and Klute equation exactly.

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https://infoscience.epfl.ch/entities/publication/6404f55e-48f7-4ee6-8b8f-92d8614efb72

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David Andrew Barry
2010
Journal Articles

Résumé

Source officielle

https://infoscience.epfl.ch/entities/publication/6404f55e-48f7-4ee6-8b8f-92d8614efb72

À propos de ce résultat

Concepts associés (10)

Fluid solution

In general relativity, a fluid solution is an exact solution of the Einstein field equation in which the gravitational field is produced entirely by the mass, momentum, and stress density of a fluid. In astrophysics, fluid solutions are often employed as stellar models. (It might help to think of a perfect gas as a special case of a perfect fluid.) In cosmology, fluid solutions are often used as cosmological models.

Exact solutions in general relativity

In general relativity, an exact solution is a solution of the Einstein field equations whose derivation does not invoke simplifying assumptions, though the starting point for that derivation may be an idealized case like a perfectly spherical shape of matter. Mathematically, finding an exact solution means finding a Lorentzian manifold equipped with tensor fields modeling states of ordinary matter, such as a fluid, or classical non-gravitational fields such as the electromagnetic field.

Vacuum solution (general relativity)

In general relativity, a vacuum solution is a Lorentzian manifold whose Einstein tensor vanishes identically. According to the Einstein field equation, this means that the stress–energy tensor also vanishes identically, so that no matter or non-gravitational fields are present. These are distinct from the electrovacuum solutions, which take into account the electromagnetic field in addition to the gravitational field.

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