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Unformatted text preview: Relativistic Kinematics Lecture II General Relativity (PHY 6938), Fall 2007 Copyright 2007 by Christopher Beetle futuredirectedtimelike pastdirectedtimelike futuredirected lightlike spacelike pastdirected lightlike Structure of Minkowski Space There are fve kinds oF vectors in Minkowski spacetime: spacelike timelike and lightlike. Timelike and lightlike vectors can be either Futuredirected or pastdirected. x 2 > x 2 < x 2 = 0 t x > t x < x 2 := c 2 t 2 x +  x  2 futuredirectedtimelike pastdirectedtimelike futuredirected lightlike spacelike pastdirected lightlike Structure of Minkowski Space There are fve kinds oF vectors in Minkowski spacetime: spacelike timelike and lightlike. Timelike and lightlike vectors can be either Futuredirected or pastdirected. x 2 > x 2 < x 2 = 0 t x > t x < x 2 := c 2 t 2 x +  x  2 t = ( t v x/c 2 )  v x   v   x  < vc  t x  < c 2  t x  futuredirectedtimelike pastdirectedtimelike futuredirected lightlike spacelike pastdirected lightlike Structure of Minkowski Space There are fve kinds oF vectors in Minkowski spacetime: spacelike timelike and lightlike. Timelike and lightlike vectors can be either Futuredirected or pastdirected. x 2 > x 2 < x 2 = 0 t x > t x < x 2 := c 2 t 2 x +  x  2 t = ( t v x/c 2 )  v x   v   x  < vc  t x  < c 2  t x  Causal Kinematical Effects Length Contraction An inertial observer O carries a ruler of length L at speed v past an inertial observer O . How long does O measure it to be? A B C D t t x x x 1 = L = ( x 1 vt ) Length Contraction An inertial observer O carries a ruler of length L at speed v past an inertial observer O ....
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 Spring '08
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 General Relativity, Light

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