de Sitter space and Holography
de Sitter space and Holography
de Sitter space and Holography
- No tags were found...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
One can generalize it for a general <strong>space</strong> which isasymptotically dS. For d =, 3,4, 5 the counterterms are givenbyI ct = 18πG∫∂M +d 2 x √ hL ct + 18πG∫∂M −d 2 x √ hL ctwhereL ct = d − 2l−l 22(d − 3) R• The second term is present for d > 3.• R is the intrinsic curvature of the boundary.• The calculations are preformed by cutting off the dS <strong>space</strong>at finite time <strong>and</strong> then sending the surface to infinity.The total action is thenI total = I bulk + I GH + I ctWe can now compute the Eucli<strong>de</strong>an boundary stress tensorwhich measures the response of the <strong>space</strong>time to changes ofthe boundary metric (Brown-York prescription).Consi<strong>de</strong>r a <strong>space</strong>time with the metricds 2 = g ij dx i dx j 34