- #1

kornha

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## Homework Statement

Find the Einstein luminosity (LE) in terms of just c and G (the speed of light

and the gravitational constant), i.e. determine a power (in watts) from just these two terms

using dimensional analysis. What is this value? Once determined, you should be able to

show that an object converting its mass entirely to energy cannot radiate that energy away

fast enough before becoming a black hole if its luminosity is greater than 0:5LE. Thus LE

represents an upper limit on how bright anything in our universe can be!

## Homework Equations

There are no particular relevant equations. It helps to know that G is n m^3/(kg s^2) units and that c is m/s. Luminosity also equals Power.

## The Attempt at a Solution

I solved the beginning. I found that the units of power are J/s which end up being (kg ms^2)/(s^3) and thus solving for a c and G combination yields that L = c^5/G.

However, I am completely unsure how to procede in the question passed the "Once determined you should be able to show..."

Please, any help would be great!