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Can I read On Variational Principles for Gravitating Perfect Fluids on EtoBox?
On Variational Principles for Gravitating Perfect Fluids by David J. Brown is a Physics and Astronomy article available to read on EtoBox.
What is On Variational Principles for Gravitating Perfect Fluids about?
The connection is established between two different action principles for perfect fluids in the context of general relativity. For one of these actions, S, the fluid four velocity is expressed as a sum of products of scalar fields and their gradients (the velocity potential representation). For the other action, S , the fluid four velocity is proportional to the totally antisymmetric product of gradients of the fluid Lagrangian coordinates. The relationship between S and S is established by expressing S in Hamiltonian form and identifying certain canonical coordinates as ignorable. Elimination of these coordinates and their conjugates yields the action S . The key step in the analysis is a point canonical transformation in which all tensor fields on space are expressed in terms of the Lagrangian coordinate system supplied by the fluid. The canonical transformation is of interest in its own right. It can be applied to any physical system that includes a material medium described by Lagrangian coordinates. The result is a Hamiltonian description of the system in which the momentum constraint is trivial.
Who reads On Variational Principles for Gravitating Perfect Fluids?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- David J. Brown
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0003-4916)
- Published
- 1996
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)