- #1
Rob Sfic
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Hi,
In his original paper, Schwarzschild set the "'equation of the determinant" to be: |g|=-1. In other words, he imposed the determinant of the metric to be equal to minus one when solving the Einstein's equations. Must we impose this equality systematically in general relativity and why?
(see english translation: "On the Gravitational Field of a Mass Point according to Einstein’s Theory", K. Schwarzschild, in General Relativity and Gravitation, vol.35, No.5, 2003, pp.951-959; http://link.springer.com/article/10.1023/A:1022971926521?LI=true
or
http://www.phys.huji.ac.il/Phys_Hug/Lectures/77632/SchwarzschildTranslated.pdf )
Rob
In his original paper, Schwarzschild set the "'equation of the determinant" to be: |g|=-1. In other words, he imposed the determinant of the metric to be equal to minus one when solving the Einstein's equations. Must we impose this equality systematically in general relativity and why?
(see english translation: "On the Gravitational Field of a Mass Point according to Einstein’s Theory", K. Schwarzschild, in General Relativity and Gravitation, vol.35, No.5, 2003, pp.951-959; http://link.springer.com/article/10.1023/A:1022971926521?LI=true
or
http://www.phys.huji.ac.il/Phys_Hug/Lectures/77632/SchwarzschildTranslated.pdf )
Rob
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