https://doi.org/10.1140/epjp/i2013-13083-3
Regular Article
Approximate analytical treatment of gravitational potential with relativistic correction in Bianchi type-I cosmology
1
Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
2
Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
* e-mail: zarrinkamar.s@gmail.com
Received:
9
April
2013
Revised:
10
June
2013
Accepted:
29
June
2013
Published online:
5
August
2013
As the theory of general relativity implies corrections to the classical gravitational potential, we consider the Wheeler-DeWitt equation for anisotropically expanding homogeneous high-dimension spaces with a modified gravitational potential which includes a relativistic correction indicating the Schwarzschild radii of heavy objects. By proposing an approximation scheme, we report the wave function in terms of the Jacobi polynomial. The eigenvalue equation is reported as well.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2013
