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2007

Spherically symmetric ADM gravity with variable G and Lambda(c)

Esposito, Giampiero, Rubano, Claudio, Scudellaro, Paolo

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This paper investigates the Arnowitt--Deser--Misner (hereafter ADM) form of spherically symmetric gravity with variable Newton parameter G and cosmological term Lambda(c).

The Newton parameter is here treated as a dynamical variable, rather than being merely an external parameter as in previous work on closely related topics.
The resulting Hamilton equations are obtained; interestingly, a static solution exists, that reduces to Schwarzschild geometry in the limit of constant G, describing a Newton parameter ruled by a nonlinear differential equation in the radial variable r.
A remarkable limiting case is the one for which the Newton parameter obeys an almost linear growth law at large r.

Spherically symmetric ADM gravity with variable G and Lambda(c) · Around

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