Exact Solutions and the Cosmological Constant Problem in Dilatonic-Domain-Wall Higher-Curvature String Gravity

Nick E. Mavromatos; John Rizos

doi:10.1142/S0217751X03013582

paper

Exact Solutions and the Cosmological Constant Problem in Dilatonic-Domain-Wall Higher-Curvature String Gravity

arXiv:hep-th/0205299 · doi:10.1142/S0217751X03013582

Abstract

In this article we extend previous work by the authors, and elaborate further on the structure of the general solution to the graviton and dilaton equations of motion in brane world scenaria, in the context of five-dimensional effective actions with O(α') $hi g h er - c u r v a t u r ecor r ec t i o n s, co m p a t ib l e w i t hb u l k s t r in g - am pl i t u d ec a l c u l a t i o n s . W eco n s i d er (m u l t i) b r an esce na r ia, d i v i d in g t h e b u l k s p a ce in t or e g i o n s, in w hi c h o n e ma t c h es tw oc l a sseso f g e n er a l so l u t i o n s, a l in e a r R an d a l l - S u n d r u m so l u t i o nan d a (l o g a r i t hmi c) d i l a t o ni c d o main w a l l (b u l k nak e d s in g u l a r i t y) . W e p a y p a r t i c u l a r a tt e n t i o n t oe x aminin g t h e p oss ibi l i t y o f r eso l v in g t h e ma ss hi er a r c h y p r o b l e m t o g e t h er w i t h t h e v ani s hin g o f t h e v a c uu m e n er g y o n t h eo b ser v ab l e w or l d, w hi c hi s t ak e n t o b e a p os i t i v e t e n s i o nb r an e . T h e a pp e a r an ceo f nak e dd i l a t o ni c d o main w a l l s p r o v i d es a d y nami c a l r es t r i c t i o n o f t h e b u l k s p a ce t im e . O f p a r t i c u l a r in t er es t i s a d i l a t o ni c - w a l l so l u t i o n, w hi c ha f t er a pp r o p r ia t ecoor d ina t e t r an s f or ma t i o n, r es u l t s ina l in e a r d i l a t o n co n f or ma l f i e l d t h eor y . T h e l a tt er ma y p r o v i d e ah o l o g r a p hi cr eso l u t i o n o f t h e nak e d s in g u l a r i t y p r o b l e m . A l l t h es t r in g - in s p i r e d m o d e l s in v o l v e d ha v e t h e g e n er i c f e a t u r e t ha tt h e b r an e t e n s i o n s a r e p r o p or t i o na l t o t h es t r in g co u pl in g$ g_s$; it remains a challenge for string theory, therefore, to show whether microscopic models respecting this feature can be constructed.

30 pages LATEX, seven eps figures incorporated

Exact Solutions and the Cosmological Constant Problem in Dilatonic-Domain-Wall Higher-Curvature String Gravity

Abstract

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