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Study of Solar Magnetic and Gravitational Energies Through the Virial Theorem

Virial theorem is important for understanding stellar structures. It produces an interesting connection between the magnetic energy and the gravitational one. Using the general form of the virial theorem including the magnetic field (toroidal magnetic field), we may explain the solar dynamo model in related to variations of the magnetic and gravitational energies. We emphasize the role of the gravitational energy in sub-surface layers which has been certainly minored up to now. We also consider two types of solar outer shape (spherical and spheroidal) to study the behavior of magnetic and gravitational energies. The magnetic energy affects the solar shape, while the gravitational energy is not changed by the considered shapes of the Sun.

preprint2014arXivOpen access

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