A bstract We extend Maldacena’s argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact that 6D Gravity admits an sector. Then, by taking generalized Neumann boundary conditions, action reduces renormalized Einstein-AdS action. These restrictions are implied vanishing traceless Ricci tensor, is defining property any spacetime....

We study a conformally coupled scalar-tensor theory with quartic potential possessing local conformal symmetry up to boundary term. show that requiring the restoration of full fixes counterterms render on-shell action finite. The building block resulting is covariant tensor which constructed out metric and scalar field it has same weight as Weyl tensor. This allows us obtain for sector in closed form. finiteness complete version suggestive on validity renormalization prescription. extend...

Abstract We explore the possibility that primordial black holes (PBHs) contain electric charge down to present day. find PBHs should hold a non-zero net at their formation, due either Poisson fluctuations horizon crossing or high-energy particle collisions. Although initial configurations are subject fast discharge processes through accretion quantum emission, we show maximally rotating could produce magnetic fields able shield them from discharge. Moreover, given electrons lightest and...

A bstract The vacuum entanglement entropy of a general conformal field theory (CFT) in d = 5 spacetime dimensions contains universal term, F ( ), which has complicated and non-local dependence on the geometric details region theory. Analogously to previously known 3 case, we prove that for CFTs are holographically dual Einstein gravity, ) is equal four-dimensional version “Willmore energy” associated doubled closed Ryu-Takayanagi (RT) surface embedded ℝ . This generalized Willmore energy...

ABSTRACT We present a modification of the Press–Schechter (PS) formalism to derive general mass functions for primordial black holes (PBHs), considering their formation as being associated with amplitude linear energy density fluctuations. To accommodate wide range physical relations between and non-linear conditions collapse, we introduce an additional parameter PS mechanism, that collapse occurs at either given cosmic time, or fluctuations enter horizon. study case where obey Gaussian...

We introduce a statistical method for estimating magnetic field fluctuations generated from primordial black hole (PBH) populations. To that end, we consider monochromatic and extended Press-Schechter PBH mass functions, such each constituent is capable of producing its own due to some given physical mechanism. Assuming linear correlation between matter over-densities, our estimates depend on the function, generation mechanism by constituent, characteristic separation. After computing power...

We extend our topological renormalization scheme for Entanglement Entropy to holographic CFTs of arbitrary odd dimensions in the context AdS/CFT correspondence. The procedure consists adding Chern form as a boundary term area functional Ryu-Takayanagi minimal surface. renormalized thus obtained can be rewritten terms Euler characteristic and AdS curvature This prescription considers use Replica Trick express gravitational action evaluated on conically-singular replica manifold extended bulk....

A bstract We exhibit the equivalence between renormalized volume of asymptotically anti-de Sitter (AAdS) Einstein manifolds in four and six dimensions, their Euclidean bulk gravity actions. The action is that gravity, where renormalization achieved through addition a single topological term. generalize this equivalence, proposing an explicit form for higher even-dimensional AAdS manifolds. also show evaluating on conically singular manifold replica trick results principle corresponds to...

A bstract We derive a general formula for renormalized entanglement entropy in even- dimensional CFTs holographically dual to Einstein gravity one dimension higher. In order renormalize, we adapt the Kounterterm method asymptotically locally AdS manifolds with conical singularities. On side, computation considers extrin- sic counterterms and use of replica trick à la Lewkowycz-Maldacena. The boundary counterterm B d is shown satisfy key property, direct analogy Euler density: when evaluated...

It has been recently shown that there is a particular combination of conformal invariants in six dimensions which accepts generic Einstein space as solution. The Lagrangian this Conformal Gravity theory -- originally found by Lu, Pang and Pope (LPP) can be conveniently rewritten terms products covariant derivatives the Weyl tensor. This allows one to derive corresponding Noether prepotential Noether-Wald charges compact form. Based on expression, we calculate six-dimensional Critical at...

Abstract We present a streamlined proof that any Einstein-AdS space is solution of the Lu, Pang and Pope conformal gravity theory in six dimensions. The reduction into Einstein manifestly shows action latter can be written as Einstein-Hilbert term plus Euler topological density an additional contribution depends on Laplacian bulk Weyl tensor squared. prescription for obtaining this form by embedding Weyl-invariant purely metric theory, was dubbed Conformal Renormalization its resulting shown...

We propose a renormalization scheme for Entanglement Entropy of 3D CFTs with 4D asymptotically AdS gravity dual in the context gauge/gravity correspondence. The procedure consists adding Chern form as boundary term to area functional Ryu-Takayanagi minimal surface. provide an explicit prescription renormalized Entropy, which is derived via replica trick. This achieved by considering Euclidean gravitational action addition at spacetime boundary, evaluated conically-singular manifold. show...

In the conventional formalism of physics, with 1-time, systems different Hamiltonians or Lagrangians have physical interpretations and are considered to be independent unrelated each other. However, in this paper we construct explicitly canonical maps 1T phase space (including timelike components, specifically Hamiltonian) show that it is appropriate regard various 1T-physics systems, Hamiltonians, as being duals This concept similar spirit dualities discovered more complicated examples...

We present the geodesical completion of Schwarzschild black hole in four dimensions which covers entire space (u,v) Kruskal-Szekeres coordinates, including spacetime behind and white singularities. The gravitational constant switches sign abruptly at singularity, thus we interpret other side singularity as a region antigravity. presence such flips is prediction local (Weyl) scale invariant geodesically complete spacetimes improve classical general relativity string theory. compute geodesics...

We study the case of DM self annihilation, in order to assess its importance as an energy injection mechanism, IGM general, and medium within particular haloes. consider thermal relic WIMP particles with masses 10GeV 1TeV we analyse detail clustering properties a $\Lambda$CDM cosmology, on all hierarchy levels, from haloes their mass function, subhaloes density profiles them, considering adiabatic contraction by presence SMBH. then compute corresponding output, concluding that annihilation...

We derive a covariant expression for the renormalized holographic entanglement entropy Conformal Field Theories (CFTs) dual to Quadratic Curvature Gravity in arbitrary dimensions. This is written as sum of bare functional obtained using standard conical defect techniques, and counterterm defined at boundary extremal surface functional. The latter corresponds cod-2 self-replicating part extrinsic counterterms when evaluated on replica orbifold. renormalization method isolates universal terms...

ABSTRACT We study the effect of dark matter (DM) being encapsulated in primordial black holes (PBHs) on power spectrum density fluctuations P(k); we also look at its abundance haloes and their clustering. allow growth Poisson since radiation equality both monochromatic extended PBH mass distributions. present updated hole constraints by demanding $\lt 10{{\ \rm per\ cent}}$ deviations from Λ cold (CDM) a scale k = 1 h Mpc−1. Our results show that PBHs with masses $\gt 10^4\, h^{-1}\,...

A bstract We implement a universal method for renormalizing AdS gravity actions applicable to arbitrary higher curvature theories in up five dimensions. The renormalization procedure considers the extrinsic counterterm Einstein-AdS given by Kounterterms scheme, but with theory-dependent coupling constant that is fixed requirement of vacuum solution. This shown work generic couplings except zero measure subset, which includes well-known examples where asymptotic behavior modified and vacua...

A bstract We find a covariant expression for the universal part of holographic entanglement entropy which is valid CFTs dual to generic higher curvature gravities in up five bulk dimensions. use this functional compute coefficients stress-tensor correlators three-dimensional Cubic Curvature Gravity. Using gauge/gravity duality, we work out an deformed entangling regions and read from power expansion deformation parameter. In particular, obtain t 4 coefficient 3-point function exhibit...

A bstract We provide a new derivation of the Hawking mass and Willmore energy functionals for asymptotically AdS spacetimes, by embedding Einstein-AdS gravity in Conformal Gravity. By construction, evaluation four-dimensional Gravity action manifold with conical defect produces codimension-2 conformal invariant functional L Σ . The are then particular cases pure ambient spaces, respectively. bulk is finite asymptotics both as well. result suggests generic relation between invariance...

ABSTRACT We introduce a modification of the Press–Schechter formalism aimed to derive general mass functions for primordial black holes (PBHs). In this case, we start from power spectra (PPS) which include monochromatic spike, typical ultra slow-roll inflation models. consider PBH formation as being associated amplitude spike on top linear energy density fluctuations coming PPS with blue index. By modelling lognormal function, study properties resulting function spikes, and compare these...

This is the first of a series papers in which we use analyticity properties quantum fields propagating on spacetime to uncover new multiverse geometry when classical has horizons and/or singularities. The nature and origin ``multiverse'' idea presented this paper, that shared by standard model coupled gravity, are different from other notions multiverse. Via able establish definite relations among universes. In paper illustrate these for extended Rindler space, while black hole cosmological...

A bstract We study the renormalization of Entanglement Entropy in holographic CFTs dual to Lovelock gravity. It is known that EE gravity given by Jacobson-Myers (JM) functional. As usual, due divergent Weyl factor Fefferman-Graham expansion boundary metric for Asymptotically AdS spaces, this entropy functional infinite. By considering Kounterterm procedure, which utilizes extrinsic counterterms order renormalize on-shell action AAdS spacetimes, we propose a new prescription then explicitly...

Abstract We describe a method to generate scalar–tensor theories with Weyl symmetry, starting from arbitrary purely metric higher derivative gravity theories. The consists in the definition of conformally-invariant $$\hat{g}_{\mu \nu }$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mover> <mml:mi>g</mml:mi> <mml:mo>^</mml:mo> </mml:mover> <mml:mrow> <mml:mi>μ</mml:mi> <mml:mi>ν</mml:mi> </mml:mrow> </mml:msub> </mml:math> , that is rank (0,2)-tensor constructed...