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Abstract The Bakry-Émery Ricci tensor gives an analogue of the Ricci tensor for a Riemannian manifold with a smooth function. This notion motivates a new version of Einstein’s field equation… Click to show full abstract
Abstract The Bakry-Émery Ricci tensor gives an analogue of the Ricci tensor for a Riemannian manifold with a smooth function. This notion motivates a new version of Einstein’s field equation in which the mass becomes part of geometry. This new field equation is purely geometric and is obtained from an action principle which is formed naturally by the scalar curvature associated with the Bakry-Émery Ricci tensor.
Keywords:
ricci;
bakry mery;
mery ricci;
ricci tensor
Journal Title: Gravitation and Cosmology
Year Published: 2019
Link to full text (if available)
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Journal Title: Gravitation and Cosmology
Year Published: 2019
Link to full text (if available)
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recommendations!