caa a22 4500 467888051 CHVBK 20180406152740.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10714-006-0338-6 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0338-6 Padmanabhan T. IUCAA, Pune University Campus, 411 007, Ganeshkhind, Pune, India aut Gravity's immunity from vacuum: the holographic structure of semiclassical action [Elektronische Daten] [T. Padmanabhan] Principle of equivalence, general covariance and the demand that the variation of the action functional should be well defined, lead to a generic Lagrangian for semiclassical gravity of the form $$L=Q_a^{\phantom{a}bcd}R^a_{\phantom{a}bcd}$$ with $$\nabla_b\,Q_a^{\phantom{a}bcd}=0$$ . The expansion of $$Q_a^{\phantom{a}bcd}$$ in terms of the derivatives of the metric tensor determines the structure of the theory uniquely. The zeroth order term gives the Einstein-Hilbert action and the first order correction is given by the Gauss-Bonnet action. Remarkably, any such Lagrangian can be decomposed into a surface and bulk terms which are related holographically. The equations of motion can be obtained purely from a surface term in the gravity sector and hence gravity does not respond to the changes in the bulk vacuum energy density. Springer Science+Business Media, LLC, 2006 General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/11(2006-11-01), 1547-1552 0001-7701 38:11<1547 2006 38 10714 https://doi.org/10.1007/s10714-006-0338-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0338-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Padmanabhan T. IUCAA, Pune University Campus, 411 007, Ganeshkhind, Pune, India aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/11(2006-11-01), 1547-1552 0001-7701 38:11<1547 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer