Schwarzschild-de-Sitter Solution in Quantum Gauge Theory of Gravity |
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Authors: | Gheorghe Zet Camelia Popa Doina Partenie |
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Institution: | 1. Department of Physics, “Gh. Asachi”Technical University, Iasi
700050, Romania
;2. Faculty of Physics, “Al. I. Cuza”University, Iasi 700506, Romania |
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Abstract: | We use the theory based on the gravitational gauge group G to obtain a spherical symmetric solution of the field equations for the gravitational potentials on a Minkowski space-time. The gauge group G is defined and then we introduce the gauge-covariant derivative Dμ. The
strength tensor of the gravitational gauge field is also obtained and a
gauge-invariant Lagrangian including the cosmological constant is
constructed. A model whose gravitational gauge potentials Aμα(x) have spherical symmetry, depending only on the radial
coordinate r is considered and an analytical solution of these equations,
which induces the Schwarzschild-de-Sitter metric on the gauge group space,
is then determined. All the calculations have been performed by GR
Tensor II computer algebra package, running on the Maple V platform,
along with several routines that we have written for our model. |
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Keywords: | gauge theory gravitational field spherical symmetry |
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