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, which 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. An exact solution for G as a function of r is also obtained in the case of vanishing cosmological constant. Some observational implications of these solutions are obtained and briefly discussed.

Spherically symmetric ADM gravity with variable G and Lambda(c) / Esposito, G.; Rubano, Claudio; Scudellaro, Paolo. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 24:(2007), pp. 6255-6266. [10.1088/0264-9381/24/24/008]

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

G. Esposito;RUBANO, CLAUDIO;SCUDELLARO, PAOLO
2007

Abstract

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, which 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. An exact solution for G as a function of r is also obtained in the case of vanishing cosmological constant. Some observational implications of these solutions are obtained and briefly discussed.
2007
Spherically symmetric ADM gravity with variable G and Lambda(c) / Esposito, G.; Rubano, Claudio; Scudellaro, Paolo. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 24:(2007), pp. 6255-6266. [10.1088/0264-9381/24/24/008]
File in questo prodotto:
File Dimensione Formato  
CQGRD,24,6255.pdf

non disponibili

Dimensione 170.99 kB
Formato Adobe PDF
170.99 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/840994
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 7
social impact