12 апр. 2017 г. · The energy that the observer measures for the object is the projection of the object's 4-momentum on the observer's 4-velocity.

2 мар. 2023 г. · Yes, but it is more general than this. The norm of any 4-vector is invariant under arbitrary coordinate transformations in any spacetime.

14 нояб. 2023 г. · Physical Interpretation: The four-velocity's magnitude is always the speed of light, which reflects the constancy of the speed of light in all ...

25 июн. 2023 г. · In general relativity, the four velocity can be defined similar to how velocity is defined in Newtonian mechanics, except now we must keep ...

8 июн. 2014 г. · These are all related to each other through simple rotations. The four velocity at each event therefore is the time component of that event's ...

6 февр. 2020 г. · It makes sense to define 4-velocity as tangent vector to the objects worldline, because this mathematical entity is directly connected with it and thus also ...

14 сент. 2022 г. · Yes the 4-velocity is a unit vector tangent to the worldline. The fact that it is tangent to the worldline says that it tells you something about the direction ...

3 сент. 2022 г. · Remember that the norm of the four velocity is given by: V2=gμνvμvν. If we have a stationary object at a distance r then dr=dθ=dϕ=0 so the ...

2 мая 2017 г. · For a static star, in which case the fluid has no motion, the only nonzero component of the four velocity field is U0. According to Schutz's A ...

29 нояб. 2017 г. · 4-velocity vector is indeed an absolute quantity because between inertial frames, the quantity transforms "well" as a tensor.