- #1

- 20

- 0

**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:

- Thread starter astronomia84
- Start date

- #1

- 20

- 0

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

cristo

Staff Emeritus

Science Advisor

- 8,107

- 73

- #3

- 20

- 0

thanks

,something more ...

- #4

cristo

Staff Emeritus

Science Advisor

- 8,107

- 73

- #5

- 20

- 0

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

- #6

- 216

- 1

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

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

- 20

- 0

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

- 20

- 0

MY FIRST POST IS HERE…

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

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

- #9

- 216

- 1

Again, let me ask you the same question:

What is Killing's equation?

What is Killing's equation?

- Replies
- 1

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 3K

- Last Post

- Replies
- 3

- Views
- 3K

- Last Post

- Replies
- 0

- Views
- 902

- Last Post

- Replies
- 2

- Views
- 1K

- Last Post

- Replies
- 2

- Views
- 735

- Last Post

- Replies
- 3

- Views
- 1K

- Replies
- 1

- Views
- 463

- Replies
- 2

- Views
- 1K

- Replies
- 8

- Views
- 2K