null geodesic sentence in Hindi
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- Such boundaries are generated by null geodesics.
- So, if all the null geodesics collide, there is no boundary to the future.
- We also have two sets of null geodesics spiralling into two different events on the green world line.
- It is worth remarking that the null geodesics " spiral " inwards in the above figure.
- One can define geometrical quantities that measure the Lorentz boost and area increase on going round these closed null geodesics.
- Roger Penrose has observed that near a null geodesic, " every Lorentzian spacetime looks like a plane wave ".
- In general relativity, it is assumed that inertial motion occurs along timelike and null geodesics of spacetime as parameterized by proper time.
- Expressing the metric in this form shows clearly that null geodesics are inclined at \ pm 45 ^ \ circ to the horizontal.
- When the null geodesics intersect, they are no longer on the boundary of the future, they are in the interior of the future.
- These families of inward and outward bound radial null geodesics represent very different curves in spacetime and their projections do not agree for ? > 0.
- It turns out that the most general pp-wave spacetime has only one Killing vector field, the null geodesic congruence k = \ partial _ v.
- He showed that some or all of the null geodesics emitted at a given event will be refocused at a later event ( or string of events ).
- Describing the mutual motion of the test particles in a null geodesic congruence in a spacetime such as the FRW dust is a very important problem in general relativity.
- :: My question might be better summed up by asking if each for each null geodesic will be there a light ray in the pulse that will follow it?
- Considering the null geodesic equation again, one can see that if dU / dt = c, dX / dt = 0 meaning that light comes to a standstill.
- Because of the simple character of null geodesics in Minkowski spacetime, we can readily determine the optical distance between our pair of Rindler observers ( aligned with the direction of acceleration ).
- (In Minkowski spacetime, fortunately, we can ignore the possibility of multiple null geodesic paths between two world lines, but in cosmological models and other applications things are not so simple!
- If the Cauchy surface were compact, i . e . space is compact, the null geodesic generators of the boundary can intersect everywhere because they can intersect on the other side of space.
- To show this, he used techniques imported from algebraic geometry to " blow up " the spacetime so that the given null geodesic becomes the covariantly constant null geodesic congruence of a plane wave.
- To show this, he used techniques imported from algebraic geometry to " blow up " the spacetime so that the given null geodesic becomes the covariantly constant null geodesic congruence of a plane wave.
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