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Is the concept of an incompressible fluid valid in relativity? What about perfectly rigid bodies?

Is the concept of an incompressible fluid valid in relativity? What about perfectly rigid bodies?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
No, the concept of an incompressible fluid is not valid in relativity. According to equation of state the incompressible fluid signifies that,
dρ/dp = 0
Here p is the pressure of the fluid and ρ is the density of the fluid. Thus changing pressure of the fluid will not result the change of density of the fluid. Therefore the concept of an incompressible fluid is not valid in relativity.
No, the concept of rigid body is not valid in relativity. A rigid body consists of a number of particles confined to a fixed geometrical shape and size in such a way that the distance between any pair of particles always remains constant due to internal forces between them where deformation is neglected. Perfect rigid bodies do not exist in nature but many solids can be termed as rigid bodies to a fair degree of approximation. Although the perfect rigid bodies cannot not exist in nature due to relativity, but the objects can perfectly rigid if it is not moving with speed of light. Therefore the concept of rigid body is not valid in relativity.

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