calculate the Ricci tensor of an n-dimensional metric

[Meng-Sen Ma]

Dear all,

  I encountered an n-dimensional spacetime with the metric ansatz given in the attachment. I can calculate the connection, the Riemann tensor, the Ricci tensor, etc.  by hand. However, I want to know whether  

xAct(xCore) can be used to do the same job. Here n is kept as a variable. 

Best regards,

MS Ma

[ghadir jafari]

Dear MS Ma

Actually it can be done using "ProductMetric" method in xAct. Because your metric is in fact of warped type. 

I attached a file in which all component of Reimann tensor is calculated. 

Regards.

Ghadir

[Meng-Sen Ma]

Dear Ghadir,

 Thanks for your help. Your method works well. Thanks again. and 

best regards,

MS 

在 2018年6月12日星期二 UTC+8下午10:34:52，ghadir jafari写道：