GLOBAL REGULAR SOLUTION FOR THE EINSTEIN-MAXWELL-BOLTZMANN-SCALAR FIELD SYSTEM IN A BIANCHI TYPE-I SPACE-TIME
DOI:
https://doi.org/10.24297/jam.v13i1.5982Keywords:
pseudo-tensor ; cosmological constant ; Einstein system ; Maxwell system;global existence ; regular.Abstract
We prove an existence and uniqueness of regular solution to the Einstein-Maxwell-Boltzmann-Scalar Field system with pseudo-tensor of pressure and the cosmological constant globaly in time. We clarify the choice of the function spaces and we establish step by step all the essential energy estimations leading to the global existence theorem.
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References
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ï›7ï Jantzen, R. T. 1984.Cosmology of the Early Universe ed L Z Fang and R Ruffini(Singapore: World Scientific).
type 1 space-time for arbitrarily large initial data, classical quantum gravity, vol 23, n 9, ï¯
2979-3003.
ï›2ï Noutchegueme, N. and Kenmogne, M. N. 2015. Global regular solution to Boltzmann equation a Roberson Walker,
International journal of physics and Mathematical Sciences ISSN, vol 5, 2277-2111.
ï›3ï Noutchegueme, N., Dongo, D., and Takou, E. 2005. global existence of solutions for the relativistic Boltzmann equation
with arbitrarily large initial data on a Bianchi type 1 space-time, Gen.Rel.Grav 2047-2062.
ï›4ï Noutchegueme, N. and Ayissi, R. D. 2010. global existence of solution to the Maxwell-Boltzmann system in a Bianchi
type 1 space-time, Advanced studies in theoretical physic, vol 4, n
ï¯
17-20 , 855-878.
ï›5ï Ayissi, R. D. and Noutchegueme, N. 2013. Global regular solutions to Maxwell-Boltzmann-Euler system a Bianchi type
1 space-time in presence of a massive scalar field, International journal of research and reviews in applied sciences, vol 14,
n
ï¯
2, 276-315 (2013) .
ï›6ï Noutchegueme, N. and Ayissi, R. D. 2015. Bianchi type 1 magnetized cosmological models for the
Einstein-Boltzmann equation with the cosmological constant, journal of mathematical physics, vol 56.
ï›7ï Jantzen, R. T. 1984.Cosmology of the Early Universe ed L Z Fang and R Ruffini(Singapore: World Scientific).
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Published
2017-03-30
How to Cite
Norbert, N. (2017). GLOBAL REGULAR SOLUTION FOR THE EINSTEIN-MAXWELL-BOLTZMANN-SCALAR FIELD SYSTEM IN A BIANCHI TYPE-I SPACE-TIME. JOURNAL OF ADVANCES IN MATHEMATICS, 13(1), 7087–7118. https://doi.org/10.24297/jam.v13i1.5982
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