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Sign and Four Acceleration Special Relativity
If $ use $(+,-,-,-)$ sign convention then four position, four velocity become positive but four acceleration becomes negative!
$x_{\mu}x^{\mu}=\tau^2c^2,$
$U_{\mu}U^{\mu}=c^2,$
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Is 4-volume element a scalar or a pseudoscalar in special relativity?
In general relativity 4-volume element $\mathrm{d}^4 x = \mathrm{d} x^0\mathrm{d} x^1 \mathrm{d} x^2\mathrm{d} x^3$ is clearly a pseudoscalar (or scalar density) of weight 1 since it transforms as ...
