IJPAM: Volume 107, No. 3 (2016)

NONLINEAR INVARIANCE OF
FLAT CONNECTION IN GAUGE GRAVITY

İbrahim Şener
Altay Mahallesi Domaniç Caddesi
MESA Blokları Aydın Apartmanı D:26,
P.B. 06820 Eryaman, Ankara, TURKEY


Abstract. At this paper one studies the spinning gravitational field formed by a torsion free and flat connection. In existing such a connection i.e the Maurer - Cartan $1$ - form $\omega$ on a tangent bundle, the nonlinear invariance of the term $\mathfrak{tr}[\omega\wedge\ast\omega]$ gives the spin current form. Also one sees that the action integral of the gravitational field is bonded such that $\Lambda(\sim\frac{1}{\mathrm{G}})\leq \int_{M}(\mathcal{L}_{Mat}+\mathcal{L}_{Gr})<\infty$ depending of the vacuum energy density $\Lambda_{0}$ and gravitational constant $\mathrm{G}$.

Received: November 20, 2015

AMS Subject Classification: 53Z05, 83C05

Key Words and Phrases: gravity, flat connection, spin current, vacuum energy density

Download paper from here.



DOI: 10.12732/ijpam.v107i3.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 529 - 535


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).