Higher order dilaton gravity: brane equations of motion in the covariant formulation

Dilaton gravity with general brane localized interactions is investigated. Models with corrections up to arbitrary order in field derivatives are considered. Effective gravitational equations of motion at the brane are derived in the covariant approach. Dependence of such brane equations on the bulk quantities is discussed. It is shown that the number of the bulk independent brane equations of motion depends strongly on the symmetries assumed for the model and for the background. Examples with two and four derivatives of the fields are presented in more detail.Comment: 32 pages, references added, discussion extended, typos corrected, version to be publishe

Cosmology challenges brane scenarios in AdS5

Konikowska D. Cosmology challenges brane scenarios in AdS5. In: Ruffini R, ed. Proceedings, 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories (MG13). 2015: 1273-1275

Large-scale structure challenges dilaton gravity in a 5D brane scenario with AdS bulk

Konikowska D. Large-scale structure challenges dilaton gravity in a 5D brane scenario with AdS bulk. Classical and Quantum Gravity. 2014;31(4): 45011.We study a theory of dilaton gravity in a 5-dimensional brane scenario, witha non-minimal coupling of the dilaton to the matter content of the universelocalized on the brane. The effective gravitational equations at the brane arederived in the Einstein frame in the covariant approach, addressing certainmisconceptions in the literature. We then investigate whether the observedlarge-scale structure of the universe can exist on the brane in this dilatongravity scenario with an exact anti de Sitter bulk, assuming that the matterenergy-momentum tensor has the form of an inhomogeneous perfect fluid. Thecorresponding constraint on the spatial derivative of the matter energy densityis derived, and subsequently quantified using the current limits resulting fromsearches for variation of the Newton's constant. By confronting it with theobservational data from galaxy surveys, we show that up to scales of the orderof 10^4 Mpc, the derived bound on the spatial derivative of the matter energydensity does not allow for the existence of the large-scale structure asobserved today. Thus, such a dilaton gravity brane scenario is ruled out