Abstract
We outline a theory of gravitational interactions utilising the spacetime algebra - the geometric algebra of spacetime. The theory arises by demanding invariance under active Poincaré transformations. Making this symmetry local results in a first-order theory with 40 degrees of freedom. The matter-free field equations are presented, and are solved for radially-symmetric static fields. We discuss the behaviour of point particles under the fields described by these solutions, and compare and contrast the results with those of general relativity.
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© 1993 Kluwer Academic Publishers
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Doran, C., Lasenby, A., Gull, S. (1993). Gravity as a Gauge Theory in the Spacetime Algebra. In: Brackx, F., Delanghe, R., Serras, H. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2006-7_42
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DOI: https://doi.org/10.1007/978-94-011-2006-7_42
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-2347-1
Online ISBN: 978-94-011-2006-7
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