- #1

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**φ(x,y)**(

**conformal**function)

if [tex] \xi =(y,-x) [/tex] & [tex] \eta = (x,y) [/tex] is killing vectors

,for this metric [tex]ds^2 = \phi(x,y)(dx^2 +dy^2) [/tex]

?

:rofl:

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- Thread starter astronomia84
- Start date

There are various equivalent forms; the one involving the Lie Derivative of the metric may be most useful here)f

- #1

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if [tex] \xi =(y,-x) [/tex] & [tex] \eta = (x,y) [/tex] is killing vectors

,for this metric [tex]ds^2 = \phi(x,y)(dx^2 +dy^2) [/tex]

?

:rofl:

- #2

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- #3

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thanks

,something more ...

- #4

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- #5

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YOU CAN WRITE THE FIRST STEPS FOR THE PROBLEM...

- #6

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YOU CAN WRITE THE FIRST STEPS FOR THE PROBLEM...

If you need somebody to write down the first steps towards solving this, you're hardly in a position to be attempting to answer the question.

Look, it's quite simple: you're being asked to find an expression for a two-dimensional conformal factor [itex]\phi(x,y)[/itex]. You are given the metric:

[itex] g_{ij} = \phi(x,y)\delta_{ij}[/itex]

and you're also given two Killing vectors. In order to solve the problem, start by thinking about what Killing's equation is. If [itex]\vec{\xi}[/itex] is a Killing vector, and [itex]\nabla[/itex] is a connection, what is Killing's equation?

- #7

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If you need somebody to write down the first steps towards solving this, you're hardly in a position to be attempting to answer the question.

Look, it's quite simple: you're being asked to find an expression for a two-dimensional conformal factor [itex]\phi(x,y)[/itex]. You are given the metric:

[itex] g_{ij} = \phi(x,y)\delta_{ij}[/itex]

and you're also given two Killing vectors. In order to solve the problem, start by thinking about what Killing's equation is. If [itex]\vec{\xi}[/itex] is a Killing vector, and [itex]\nabla[/itex] is a connection, what is Killing's equation?

MY QUESTION

MY FIRST POST IS HERE…

AND MOVED HERE.

I READ FOR MY EXAMINATIONS IN

IF YOU CAN HELP ME ANSWER.I DO NOT REQUEST.

THANKS FOR ALL MY FRIENDS.

- #8

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MY FIRST POST IS HERE…

Physics -->Special & General Relativity -->Killing Problem 1

Physics -->Special & General Relativity -->Killing Problem 1

- #9

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Again, let me ask you the same question:

What is Killing's equation?

What is Killing's equation?

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