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The Vacuum Weighted Einstein Field Equations

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URI: https://hdl.handle.net/2183/46432
DOI: https://doi.org/10.1007/s00209-025-03747-1

Publication date

2025-05-03

Authors

Mojón Álvarez, Diego

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Bibliographic citation

Brozos-Vázquez, M., Mojón-Álvarez, D. The vacuum weighted Einstein field equations. Math. Z. 310, 44 (2025). https://doi.org/10.1007/s00209-025-03747-1

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Abstract

[Abstract] On a spacetime (M, g) endowed with a density function h, we consider the vacuum weighted Einstein field equations: hρ − Hesh +hg = 0. First, it is shown that the equation characterizes critical metrics for an appropriate action. Then, after describing locally conformally flat solutions in arbitrary dimension, fourdimensional solutions with harmonic curvature are classified.

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Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG

Keywords

Smooth metric measure space Stationary action Weighted Einstein field equations Kundt spacetime Multiply warped product

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https://doi.org/10.1007/s00209-025-03747-1

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Attribution 4.0 International

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