Given an n -dimensional manifold N with an affine connection D , we show that the associated Patterson–Walker metric g on T N admits a global and explicit Fefferman–Graham ambient metric. This provides a new and large class of conformal structures which are generically not conformally Einstein...
Given an n -dimensional manifold N with an affine connection D , we show that the associated Patterson–Walker metric g on T N admits a global and explicit Fefferman–Graham ambient metric. This provides a new and large class of conformal structures which are generically not conformally Einstein...
The present paper addresses the hardest challenge in this series: It shows how to {\\it separate} the local conformal invariant from the divergence term in the integrand; we make full use of the Fefferman-Graham ambient metric to construct the necessary local conformal invariants, as well as ...
and letNbe a Riemannian manifold. Any nonconstantinvariant harmonic morphismfrom the total space of the canonical circle bundle, endowed with the Lorentzian metric[the Fefferman metric of], is an open map. Moreover, ifMis compact andNis connected thenNis compact andis surjective. ...
In particular, it follows that Patterson-Walker metrics have\nvanishing Fefferman-Graham obstruction tensors. As an application of the\nconcrete ambient metric realization we show in addition that Patterson-Walker\nmetrics have vanishing Q-curvature.Arman Taghavi-Chabert...
M. Guica, "A Fefferman-Graham-Like Expansion for Null Warped AdS(3)," 1111.6978.M. Guica, "A Fefferman-Graham-Like Expansion for Null Warped AdS(3)," JHEP 12 (2012) 084, arXiv:1111.6978 [hep-th].M. Guica, "A Fefferman-Graham-like expansion for null warped AdS(3)," arXiv:...
Fefferman-Graham and Bondi Gauges in the Fluid/Gravity CorrespondenceCharles MarteauLuca CiambelliP. Marios PetropoulosRomain Ruzziconi
We construct a\nmap from these modes to solutions of three-dimensional Einstein gravity with a\nnegative cosmological constant, and thus show that they admit a\nFefferman-Graham-like asymptotic expansion. We also compute the renormalized\non-shell action for these modes at full non-linear level ...
Mkrtchyan, Conformal invariant powers of the Laplacian, Fefferman-Graham ambient metric and Ricci gauging, Phys. Lett. B 657 (2007) 112, [hep-th/0707.1737].R. Manvelyan, K. Mkrtchyan, and R. Mkrtchyan, "Conformal invariant powers of the Laplacian, Fefferman-Graham ambient metric and Ricci ...
Spindel, Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS 3 gravity , Nucl. Phys. B 594 (2001) 329 [ hep-th/0008147 ] [ INSPIRE ]. MathSciNet ADSM. Rooman and P. Spindel, "Holonomies, anomalies and the fefferman-graham ambiguity in ads3 gravity," Nuclear physics...