Recent content by Tursinbay

General physical perturbations of string is derived by A.Larsen and V.Frolov (arXiv:hep-th/9303001v1 1March 1993). An arbitrary string configuration is in 4-dimensional gravitational background. Starting point is Polyakov action $$ S = \int d \tau d\sigma \sqrt {-h} h^{AB} G_{AB}$$. Here is...

Dear Samalkhaiat and Strangerep, your comments are very helpful. Using the metricity condition and symmetries I obtained the wished result. I appreiciate your comments!

Here is the last line $$\frac 1 2 \left( \frac {\partial g_{nm}} {\partial x^l} + \frac {\partial g_{nl}} {\partial x^m} - \frac {\partial g_{lm}} {\partial x^n} \right) \xi^l \left(g^{mk}g^{in}+g^{mi}g^{kn} \right)$$

But it is not mentioned that metric is almost flat. I carrried out these calculations. it seems everything is correct. I am missing key point here.

In the second volume, Field Theory, of popular series of Theoretical Physics by Landau-Lifschitz are given following equations as in attached file from the book. Here is considered metric change under coordinate transformation. How is the new, prime metric expressed in original coordinates is...