Volume 24: Pages 136-138, 2011

Remarks on a cosmological constant by spontaneous symmetry breaking

Katsumi Sugita, ^a)Yoshiwo Okamoto, ^b)Matsuo Sekine ^c)

Mathematical Sciences Laboratory, Sun Techno College, 1999-5 Ryuoshinmachi, Kai-shi, Yamanashi 400-0111, Japan

Department of Electrical, Electronics and Computer Engineering, Chiba Institute of Technology, 2-17-1 Tsudanuma, Narashino-shi, Chiba 275-0016, Japan

3-3-37 Ogawa, Machida-shi, Tokyo 194-0003, Japan

Einstein, in his heuristic derivation, introduced a cosmological constant into his field equations. We derive an expression for the cosmological constant from spontaneous symmetry breaking of SU(2) ×U(1) invariance in the gravitational potential that is constructed through the scalar density                         .

Dans sa dérivation heuristique, Einstein a introduit une constante cosmologique dans ses équations. Cette constante cosmologique dérive de la rupture de la symétrie spontanée de l'invariance SU(2) ×U(1) dans le potentiel de gravité qui se construit via la densité scalaire .

Keywords: Cosmological Constant, Spontaneous Symmetry Breaking, Gravitational Potential

Received: August 24, 2009; Accepted: January 16, 2011; Published Online: February 14, 2011

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