General Relativity: An Introduction for Physicists · Problem 1.8

The spacetime of special relativity — Hobson, Efstathiou & Lasenby

Physics · spacelike-interval-simultaneity

Problem

Two events

A

and

B

have coordinates

(t_A, x_A, y_A, z_A)

and

(t_B, x_B, y_B, z_B)

respectively in some inertial frame

S

and are separated by a spacelike interval. Obtain an expression for the boost

\vec{v}

required to transform to a new inertial frame

S'

in which the events

A

and

B

occur simultaneously.