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We use Anti-de Sitter quantum field theory to prove a new class of identities between hypergeometric functions related to the K\"all\'en-Lehmann representation of products of two Anti-de Sitter two-point functions. A rich mathematical…

High Energy Physics - Theory · Physics 2015-05-28 Jacques Bros , Henri Epstein , Michel Gaudin , Ugo Moschella , Vincent Pasquier

Demanding $O(d,d)$-duality covariance, Hohm and Zwiebach have written down the action for the most general cosmology involving the metric, $b$-field and dilaton, to all orders in $\alpha'$ in the string frame. Remarkably, for an FRW…

High Energy Physics - Theory · Physics 2019-10-25 Chethan Krishnan

We show that in theories of gravity that add quadratic curvature invariants to the Einstein-Hilbert action there exist expanding vacuum cosmologies with positive cosmological constant which do not approach the de Sitter universe. Exact…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John D. Barrow , Sigbjorn Hervik

In a four-dimensional Schwarzschild-de Sitter background, the spherically symmetric $(\ell=0)$ contribution to the Hadamard two-point correlation function is computed for a massless minimally-coupled scalar field in the Unruh state.…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Ian M. Newsome , Silvia Pla , Paul R. Anderson

In this paper we provide a possible realization of Penrose's idea of nonlinear gravitons using a new description of nonmetric general relativity. In the addressal of issues surrounding the normalizability of the Kodama state and its…

General Relativity and Quantum Cosmology · Physics 2010-09-07 Eyo Eyo Ita

Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a…

High Energy Physics - Theory · Physics 2009-11-11 Bernard Julia , Jerome Levie , Sebastien Ray

In the setting of asymptotically Anti-de Sitter spacetimes, we consider Klein-Gordon fields subject to Dirichlet boundary conditions, with mass satisfying the Breitenlohner-Freedman bound. We introduce a condition on the b-wave front set of…

Mathematical Physics · Physics 2017-09-20 Michał Wrochna

We present a proof of the no hair theorems corresponding to free massive non-perturbative Pauli-Fierz spin-2 and perturbative massive spin-1/2 fields for stationary axisymmetric de Sitter black hole spacetimes of dimension four with two…

General Relativity and Quantum Cosmology · Physics 2012-12-10 Sourav Bhattacharya , Amitabha Lahiri

We perform cosmological perturbation theory in Hassan-Rosen bimetric gravity for general homogeneous and isotropic backgrounds. In the de Sitter approximation, we obtain decoupled sets of massless and massive scalar gravitational…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Marcus Berg , Igor Buchberger , Jonas Enander , Edvard Mortsell , Stefan Sjors

The gravitational energy is examined in asymptotically de Sitter space-times. The positivity will be shown for certain cases. The de Sitter/CFT(dS/CFT) correspondence recently proposed and cosmic no-hair conjecture are testified in the…

High Energy Physics - Theory · Physics 2010-02-03 Tetsuya Shiromizu , Daisuke Ida , Takashi Torii

We describe a simple gauge-fixing that leads to a construction of a quantum Hilbert space for quantum gravity in an asymptotically Anti de Sitter spacetime, valid to all orders of perturbation theory. The construction is motivated by a…

High Energy Physics - Theory · Physics 2023-06-28 Edward Witten

We calculate graviton n-point functions in an anti-de Sitter black brane background for effective gravity theories whose linearized equations of motion have at most two time derivatives. We compare the n-point functions in Einstein gravity…

High Energy Physics - Theory · Physics 2015-06-04 Ram Brustein , A. J. M. Medved

We explore General Relativity solutions with stealth scalar hair in general quadratic higher-order scalar-tensor theories. Adopting the assumption that the scalar field has a constant kinetic term, we derive in a fully covariant manner a…

General Relativity and Quantum Cosmology · Physics 2020-06-18 Kazufumi Takahashi , Hayato Motohashi

It is believed that gravity will be explained in the framework of the existing quantum theory when one succeeds in eliminating divergencies at large momenta or small distances (although the phenomenon of gravity has been observed only at…

General Relativity and Quantum Cosmology · Physics 2008-07-28 Felix Lev

Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

High Energy Physics - Theory · Physics 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

Defining a new r-matrix compatible with the scalar product at the basis of the Chern-Simons action for a particle coupled to (2+1) Lorentzian gravity with cosmological constant, I show how deformed symmetries of $\kappa$-de Sitter and, in…

High Energy Physics - Theory · Physics 2017-09-27 Giacomo Rosati

The fundamental field equations in modified gravity (including general relativity; massive and bimetric theories; Ho\vrava-Lifshits, HL; Einstein--Finsler gravity extensions etc) posses an important decoupling property with respect to…

General Physics · Physics 2014-10-30 Sergiu I. Vacaru

In this paper, we construct a fully on-shell solution space for three-dimensional Einstein's gravity in asymptotically flat spacetimes using a finite coordinate transformation. This space is parametrized by four unconstrained…

High Energy Physics - Theory · Physics 2024-07-02 Vahid Taghiloo

Scalar-tensor gravity is one of the most competitive gravity theory to Einstein's relativity. We reconstruct the exact de Sitter solution in scalar-tensor gravity, in which the non-minimal coupling scalar is rolling along the potential.…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Hongsheng Zhang , Xin-Zhou Li

We analyze the asymptotic behavior of quantum fields and perturbative quantum gravity in de Sitter space. We show that the necessary and sufficient condition for the existence of a de Sitter invariant vacuum state in the free theory is if…

High Energy Physics - Theory · Physics 2025-03-27 Jonah Kudler-Flam , Kartik Prabhu , Gautam Satishchandran