Journal ArticleDOI
Unified geometric theory of gravity and supergravity
S. W. MacDowell,F. Mansouri +1 more
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In this article, a unified geometric formulation of gravitation and supergravity is presented, which is constructed out of the components of the curvature tensor for bundle spaces with four-dimensional Lorentz base manifold and structure groups Sp(4) for gravity and OSp(1, 4) for supergravity.Abstract:
A unified geometric formulation of gravitation and supergravity is presented. The action for these theories is constructed out of the components of the curvature tensor for bundle spaces with four-dimensional Lorentz base manifold and structure groups Sp(4) for gravity and OSp(1,4) for supergravity. The requirement of invariance under reflections, local Lorentz transformations, and general coordinate transformations uniquely determines the action and ensures the existence of local supersymmetry in supergravity.read more
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Journal ArticleDOI
Canonical structure of minimal varying $\Lambda$ theories
TL;DR: In this article, the authors identify the canonical structure of the Euler and Pontryagin densities multiplied by $1/Lambda$ and find five degrees of freedom on generic backgrounds and for generic values of parameters, whereas if the parameters satisfy a certain condition (which includes the most commonly considered Euler case) only three degrees remain.
Book ChapterDOI
Topological \mathrm {SL} (5,\mathbb {R}) Gauge-Invariant Action
TL;DR: In modern particle physics, it is much more economical in the mathematical formulation to start from highly symmetric and hence idealized configurations than to try to model the real world directly as mentioned in this paper.
Journal ArticleDOI
Quantum Gravity as a Deformed Topological Quantum Field Theory
TL;DR: In this paper, it was shown that the Einstein-Hilbert action with a positive cosmological constant can be represented as a perturbation of the SO(4,1) BF theory by a symmetry-breaking term quadratic in the B field.
Posted Content
Einstein-Born-Infeld gravastar models, dark matter and accretion mechanisms
Diego Julio Cirilo-Lombardo,Diego Julio Cirilo-Lombardo,Diego Julio Cirilo-Lombardo,Carlos Vigh,Carlos Vigh,Carlos Vigh +5 more
TL;DR: In this article, a regular variety of gravastar models within the context of EBI nonlinear electrodynamics are built and the accretion process for spherically symmetric space-time geometries generated for a nonlinear electromagnetic field where the energy momentum tensor have the same form that an anisotropic fluid that is the general EBI case.