The Kerr Metric In Bondi-Sachs Coordinates

Authors:
 Liebrecht R. Venter & Nigel T. Bishop
This page contains the numerical program to calculate coefficients for the Kerr Metric in Bondi-Sachs coordinates as obtained in our paper Kerr metric in Bondi-Sachs form, printed in Physics Review D.73, 084023 (2006).
The program creates a regular grid, then calculates all the implicit functions needed to obtain the metric coefficients at each grid point. The program also calculates the metric coefficients for other metrics.
Instructions:
First work through the example, then register  here if you want to use the  server/service.
The relevant paper for the metric  can be found by  following the hyperlinks below. Choose the metric of interest.
 An email address is needed to send the results to and to be able to access the servers.  It is also the password.
A grid center point of interest is all that needs to be provided.
Submit the data and receive the results by email in the format chosen or view results online.

 Numerical Evaluation of Metrics



Bishop-Venter Metric

See also the auxiliary metrics 		E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)








Pretorius-Israel Metric

E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)







 

Kerr Metric

E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)








Fletcher-Lun Metric

 E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)








Auxilliary Metrics

These  metrics are related to the  Kerr Metric in Bondi-Sachs form  above

BV-1 Metric

E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)








BV-2 Metric

 E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)








Examples

Schwarzschild Metric Example

 E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)








Kerr Metric Example

 E-mail address
Output Format
Grid center point data:
a
m
radial "r"
"theta" 		= (  your email address )
= (    dvi, ps, pdf or tex )

= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter value    : Real)
= ( Enter radians : Real)