FIZIKA B 11 (2002)  3, 149-154

GLOBAL MONOPOLE IN EINSTEIN-CARTAN THEORY BASED ON LYRA GEOMETRY

FAROOK RAHAMAN^a,b,* and SAMIR MAL^b

^aKhodar Bazar, Baruipur, Kolkata 700144, West Bengal, India
^*E-mail address: [email protected]

^bDepartment of Mathematics, Jadavpur University, Kolkata 700032, India

Received 16 April 2002; revised manuscript received 17 January 2003
Accepted 20 January 2003        Online 7 February 2003

We present an approximate solution of Einstein - Cartan equations for the metric outside a monopole resulting from the breaking of a global O(3) symmetry based on Lyra's modified Riemannian geometry. It is interesting to note that unlike the general relativity case, the global monopole in Einstein - Cartan theory based on Lyra's geometry can have attractive as well as repulsive gravitational effect.

PACS numbers: 98.80.eq, 04.20.Jb, 04.50
UDC 530.12

Keywords: global monopole, Einstein - Cartan theory, Lyra geometry

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