Consider a cosmological spacetime in which the line element is given by ds? = a°(t)(-dt + da² + dy° + dz?), where a(t) > 0 is the scale factor. Two light rays tangent to l4 = (1, 1, 0,0) and = (1,0, 1,0) are received at time t = to by someone with 4-velocity u" = (a-'(to), 0, 0, 0). Compute the observed angle between the correspond- ing images.
Consider a cosmological spacetime in which the line element is given by ds? = a°(t)(-dt + da² + dy° + dz?), where a(t) > 0 is the scale factor. Two light rays tangent to l4 = (1, 1, 0,0) and = (1,0, 1,0) are received at time t = to by someone with 4-velocity u" = (a-'(to), 0, 0, 0). Compute the observed angle between the correspond- ing images.
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![Consider a cosmological spacetime in which the line element is given by
ds? = a°(t)(-dt + da² + dy° + dz?),
where a(t) > 0 is the scale factor. Two light rays tangent to l4 = (1, 1, 0,0)
and = (1,0, 1,0) are received at time t = to by someone with 4-velocity
u" = (a-'(to), 0, 0, 0). Compute the observed angle between the correspond-
ing images.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b4da23c-d273-4416-9720-ddde6ca3991f%2F84dbd8ab-bfc5-4428-b3e0-aa1887cad044%2Fq0n8t4.png&w=3840&q=75)
Transcribed Image Text:Consider a cosmological spacetime in which the line element is given by
ds? = a°(t)(-dt + da² + dy° + dz?),
where a(t) > 0 is the scale factor. Two light rays tangent to l4 = (1, 1, 0,0)
and = (1,0, 1,0) are received at time t = to by someone with 4-velocity
u" = (a-'(to), 0, 0, 0). Compute the observed angle between the correspond-
ing images.
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