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Metric-Affine Gauge theories of gravity: Foundations and new insights
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Metric-Affine Gauge theories of gravity: Foundations and new insights
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This thesis covers several developments performed in metric-affine gravity. This alternative framework extends General Relativity by considering a more general connection than the one induced by the metric (i.e., arbitrary torsion and nonmetricity participate in the dynamics). We start by revising some mathematical aspects of the metric-affine framework, the way Lovelock and other invariants are extended to it and the construction of a gauge formalism. Then we focus on metric-affine pp-wave geometries and explore solutions of this type for the quadratic metric-affine Lagrangian (with even-parity invariants). Finally, in the last part of the manuscript, we analyze from a more field-theoretical point of view the viability of different extensions of General Relativity by guaranteeing the stability of their degrees of freedom.
Forward citations
Cited by 8 Pith papers
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Jacobson's thermodynamic approach to classical gravity applied to non-Riemannian geometries: remarks on the simplicity of Nature
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