Towards a unified Lagrangian formalism for Cosmology and Black Holes

G. Avila; J. A. Nieto

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arXiv · 1410.2490

Towards a unified Lagrangian formalism for Cosmology and Black Holes

G. Avila·J. A. Nieto

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Abstract

Using a Lagrangian formalism we establish a relationship between the (n + D + d) dimensional cosmology, black-holes and the Polyakov action for strings. Specifically, we identify these physical scenarios as part of a 2-dimensional metric, which arises from a Lagrangian function with constraints, derived from the Einstein-Hilbert action. In particular, we show that the Friedmann-Robertson-Walker cosmological model and the Schwarzschild solution are both consequence of this Lagrangian.

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G. Avila, J. A. Nieto. 2018-06-12. Towards a unified Lagrangian formalism for Cosmology and Black Holes. https://arxiv.org/abs/1410.2490

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