Question regarding gravitational waves

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Homework Help Overview

The problem involves a star 10 light-years away that explodes, producing gravitational waves. The central question is how long it takes for these waves to reach Earth.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the propagation speed of gravitational waves, with some asserting they travel at the speed of light. Others question whether the metric expansion of space should be considered in the calculation.

Discussion Status

There is an ongoing exploration of the assumptions regarding the propagation speed of gravitational waves. Some participants provide insights into the nature of gravitational waves and their speed, while others seek clarification on the implications of different assumptions.

Contextual Notes

Participants are considering whether to factor in the metric expansion of space in their reasoning, which may affect the interpretation of the problem.

blueberrynerd
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Homework Statement


A star 10 light-years away explodes and produces gravitational waves. How long will it take these waves to reach the earth?


Homework Equations


The problem is, I don't know what equations to use or if it's just a matter of simple math.


The Attempt at a Solution


My answer is that it takes 10 years to reach the Earth, but something tells me that this is wrong. Can anyone help me solve this problem or tell me if my answer is correct? :frown:
 
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blueberrynerd said:

Homework Statement


A star 10 light-years away explodes and produces gravitational waves. How long will it take these waves to reach the earth?


Homework Equations


The problem is, I don't know what equations to use or if it's just a matter of simple math.


The Attempt at a Solution


My answer is that it takes 10 years to reach the Earth, but something tells me that this is wrong. Can anyone help me solve this problem or tell me if my answer is correct? :frown:

As far as I know, gravitational waves propagate with speed c.
 
The answer will depend on whether you are required to take into account the metric expansion of space; if not than your answer is correct as the waves propagate at the speed of light.
 
Do all gravitational waves propagate at the same speed? Is it only the magnitude which varies, according to the body of matter that produced the waves?
 
blueberrynerd said:
Do all gravitational waves propagate at the same speed? Is it only the magnitude which varies, according to the body of matter that produced the waves?

For small amplitude gravitational waves they propagate at speed c. An exploding star counts as a small amplitude wave. Just use c.
 
Thanks a bunch! :biggrin:
 

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