Spinor field in a spherically symmetric Friedmann Universe

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Abstract

In recent years spinor field is being used by many authors to address some burning issues of modern cosmology. The motive behind using the spinor field as a source for gravitational field lies on the fact that the spinor field not only can describe the different era of the evolution but also can simulate different substances such as perfect fluid and dark energy. Moreover, the spinor field is very sensitive to the gravitational one and depending on the gravitational field the spinor field can react differently and change the spacetime geometry and the spinor field itself differently. This paper provides a brief description of the nonlinear spinor field in the FriedmannLemaitre-Robertson-Walker (FLRW) model. The results are compared in Cartesian and spherical coordinates. It is shown that during the transition from Cartesian coordinates to spherical ones, the energy-momentum tensor acquires additional nonzero non-diagonal components that can impose restrictions on either spinor functions or metric ones.

About the authors

Bijan Saha

Peoples’ Friendship University of Russia (RUDN University); Joint Institute for Nuclear Research

Author for correspondence.
Email: bijan64@mail.ru

Doctor of Physical and Mathematical Sciences, assistant professor of the Institute of Physical Research and Technologies of Peoples’ Friendship University of Russia (RUDN University), leading researcher at the Laboratory of Information Technologies of The Joint Institute for Nuclear Research

6, Miklukho-Maklaya St., Moscow, 117198, Russian Federation; 6, Joliot-Curie St., Dubna, Moscow region, 141980, Russian Federation

Evgeniy I. Zakharov

Peoples’ Friendship University of Russia (RUDN University)

Email: zakharov.eugene1998@gmail.com

student of the Institute of Physical Research and Technologies

6, Miklukho-Maklaya St., Moscow, 117198, Russian Federation

Victor S. Rikhvitsky

Joint Institute for Nuclear Research

Email: rqvtsk@mail.ru

Master of physical and mathematical Sciences, Leading programmer of the Laboratory of Information Technologies

6, Joliot-Curie St., Dubna, Moscow region, 141980, Russian Federation

References

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