ar X iv : h ep - t h / 04 02 07 1 v 2 18 J un 2 00 4 Born - Infeld gravity in any dimension
نویسنده
چکیده
where gμν is the space-time metric and Fμν is the electromagnetic field strength. It turns out that the action SBI reduces to Maxwell action for small amplitudes. Some years ago, the action (2) became of very much interest because its relation with SUSY (see [3] and references there in) and string theory (see [4]-[7] and references there in) and D-brane physics [8]. At present, the BI theory has been generalized to the supersymmetric non abelian case (see [9] and references there in) and it has been connected with noncommutative geometry [10] and Cayley-Dickson algebras [11]. Moreover, it turns out intriguing that the BI action can be derived from matrix theory [12] and D9-brane [13]. For interesting comments and observation about the BI theory the reader is refer to the works of Schwarz [14] and Ketov [15]. Inspired by the interesting properties of the BI theory, Deser and Gibbons [16] proposed in 1998 the analogue of SBI for a gravity,
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