By Philip D. Mannheim

ISBN-10: 9812565612

ISBN-13: 9789812565617

ISBN-10: 9812703136

ISBN-13: 9789812703132

This well timed and worthy e-book presents a close pedagogical creation and remedy of the brane-localized gravity software of Randall and Sundrum, within which gravitational signs may be able to localize round our 4-dimensional international within the occasion that it's a brane embedded in an infinitely-sized, greater dimensional anti-de Sitter bulk area. a totally self-contained improvement of the cloth wanted for brane-world reviews is equipped for either scholars and staff within the box, with an important quantity of the cloth being formerly unpublished. specific recognition is given to matters now not more often than not handled within the brane-world literature, akin to the completeness of tensor gravitational fluctuation modes, the causality of brane-world propagators, and the prestige of the massless graviton fluctuation mode in brane worlds during which it's not normalizable.

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Extra info for Brane-Localized Gravity

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2 The embedded sheet Riemann tensor and its weak gravity limit Even though the static 2-brane model discussed above is one in which the bulk is devoid of matter fields, it does not follow that in it the bulk is flat. In fact, explicit evaluation shows that associated with the metric of Eq. 3) are six non-vanishing Riemann tensor components, viz. 14) and we especially note the presence here of a delta function term. This example thus explicitly shows how an embedding of brane matter fields in an empty bulk sets up a gravitational field in the bulk.

Unless g M N and n A are such that 95, = 0, ,A = ( O , O , o,o, (g55)-1/2). 25 General Properties of Embeddings the 5-dimensional Weyl tensor, with the 4-dimensional Einstein tensor (4)G,, not in any way looking like the ( p v ) component of the 5-dimensional GAB. 3 Evaluation of the induced Einstein tensor in a specific case As such, Eqs. 5) are quite remarkable. Specifically, since quantities such as (4)Gooare calculated with the induced metric alone, all derivatives with respect to the fifth coordinate must identically drop out of the right-hand side of Eq.

Unless g M N and n A are such that 95, = 0, ,A = ( O , O , o,o, (g55)-1/2). 25 General Properties of Embeddings the 5-dimensional Weyl tensor, with the 4-dimensional Einstein tensor (4)G,, not in any way looking like the ( p v ) component of the 5-dimensional GAB. 3 Evaluation of the induced Einstein tensor in a specific case As such, Eqs. 5) are quite remarkable. Specifically, since quantities such as (4)Gooare calculated with the induced metric alone, all derivatives with respect to the fifth coordinate must identically drop out of the right-hand side of Eq.

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Brane-Localized Gravity by Philip D. Mannheim


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