Transverse waves in a relativistic rigid body (Q1063447)
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scientific article; zbMATH DE number 3917828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transverse waves in a relativistic rigid body |
scientific article; zbMATH DE number 3917828 |
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Transverse waves in a relativistic rigid body (English)
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1985
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We present relativistic elasticity as a scalar field theory. We apply it to rigid bodies, i.e., relativistic bodies with a nonlinear elastic law and a definite longitudinal wave velocity \(v_ l\) equal to the light velocity, c. We obtain the transverse wave equation with a definite velocity \(v_ t\) and the relation between \(v_ l,v_ t\), and the Poisson coefficient is the classical one. This is an indication that we have the relativistic extension of a classical Hooke elastic law.
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homogeneous two-dimensional material
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equations of motion
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Cartesian coordinates
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Minkowski space
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equations of adiabatic motion
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Lagrangian density
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relativistic elasticity
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scalar field theory
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rigid bodies
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relativistic bodies
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nonlinear elastic law
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definite longitudinal wave velocity
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equal to the light velocity
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transverse wave equation
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definite velocity
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relativistic extension of a classical Hooke elastic law
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