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Results tagged with special-relativity
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user 102928
The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.
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Newtonian limit of a perfect fluid
Without answers for more than 3 weeks, I'll propose one. I'll only accept it if it is validated by the community by some upvotes.
$T^{tt}$ is the spatial density of energy, so the energy in a small v …
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2
answers
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Newtonian limit of a perfect fluid
In special relativity, with metric tensor $\eta_{\mu\nu}=\text{diag}(-c^2,1,1,1)$, take a perfect fluid stress-energy tensor : $T^{\mu\nu} = \left( \rho + \frac{p}{c^2} \right) \, U^\mu\otimes U^\nu + …
- 235
2
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1
answer
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Is Newton's third law Lorentz-covariant?
Let $(x,y,z,t)$ be a Lorentz frame equipped with the Minkowski metric. Assume 2 particles interact, without external forces applied to them. The total 4-momentum $p_1+p_2$ is therefore conserved. If w …
- 235
1
vote
2
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Rocket faster than light?
In this article, wikipedia describes a constantly accelerated rocket, assuming special relativity :
$$ x(\tau) \;=\; \frac{c^2}{a} \left(\cosh \frac{a \ \tau}{c} -1 \right) $$
The proper time $\tau$ i …
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