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We discuss the stabilization of the conformal factor by higher derivative terms in a conformally reduced $R+R^2$ Euclidean gravity theory. The flat spacetime is unstable towards the condensation of modes with nonzero momentum, and they…

High Energy Physics - Theory · Physics 2013-04-17 Alfio Bonanno , Martin Reuter

General covariant unimodular gravity frameworks, based on the Henneaux-Teitelboim formulation, are, in disguise, precisely $4$-form field theories corrected with higher dimension operators. In the presence of charged tensional membranes,…

High Energy Physics - Theory · Physics 2023-07-11 Nemanja Kaloper

We develop a non-perturbative formalism for scalar metric fluctuations from a 5D extended version of general relativity in vacuum. In this work we concentrate our efforts on calculations valid on large cosmological scales, which are the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 José Edgar Madriz Aguilar , Luz Marina Reyes , Claudia Moreno , Mauricio Bellini

We give the general Kerr-de Sitter metric in arbitrary spacetime dimension D\ge 4, with the maximal number [(D-1)/2] of independent rotation parameters. We obtain the metric in Kerr-Schild form, where it is written as the sum of a de Sitter…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , H. Lu , D. N. Page , C. N. Pope

We revisit the problem of spontaneous symmetry breaking (SSB), its restoration, and phase transition for a self interacting quantum scalar field in a general curved background, at zero and finite temperature. To the best of our knowledge,…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Vishal Nath , Sourav Bhattacharya

As an illustration of a renormalizable, asymptotically-free model of induced gravity, we consider an $SO(10)$ gauge theory interacting with a real scalar multiplet in the adjoint representation. We show that dimensional transmutation can…

High Energy Physics - Theory · Physics 2016-06-08 Martin B Einhorn , D R Timothy Jones

We consider higher-spin gravity in (A)dS_4, defined as the holographic dual of a free O(N) or Sp(N) vector model. At the quartic level, this theory has been judged non-local at distances greater than the (A)dS radius, due to a mismatch of…

High Energy Physics - Theory · Physics 2023-08-09 Yasha Neiman

We consider the quantum mechanical description of the de Sitter static patch in three-dimensional general relativity. We consider a Lorentzian path integral that conjecturally computes the Fourier transform of the spectrum of the static…

High Energy Physics - Theory · Physics 2025-05-13 Joydeep Chakravarty , Alexander Maloney , Keivan Namjou , Simon F. Ross

We study the quasi-normal modes of asymptotically anti-de Sitter black holes in a class of shift-symmetric Horndeski theories where a gravitational scalar is derivatively coupled to the Einstein tensor. The space-time differs from exact…

General Relativity and Quantum Cosmology · Physics 2017-11-17 Ruifeng Dong , Jeremy Sakstein , Dejan Stojkovic

The C-metric is one of few known exact solutions of Einstein's field equations which describes the gravitational field of moving sources. For a vanishing or positive cosmological constant, the C-metric represents two accelerated black holes…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Pavel Krtous

We consider five-dimensional cylindric spacetime $V^5$ with foliation of codimension ~1. The leaves of this foliation are four-dimensional "parallel" universes. The metric of five-dimensional spacetime and induced metrics of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Alexander K. Guts , Marina S. Shapovalova

A nonlocal gravity model, which does not assume the existence of a new dimensional parameter in the action and includes a function $f(\Box^{-1} R)$, with $\Box$ the d'Alembertian operator, is considered. The model is proven to have de…

Cosmology and Nongalactic Astrophysics · Physics 2012-02-08 E. Elizalde , E. O. Pozdeeva , S. Yu. Vernov

We analyze a class of 5D non-compact warped-product spaces characterized by metrics that depend on the extra coordinate via a conformal factor. Our model is closely related to the so-called canonical coordinate gauge of Mashhoon et al. We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Sanjeev S. Seahra , Paul S. Wesson

This paper corroborates a statement that perturbative string theory does not admit a solution whose spacetime metric is de Sitter times a closed manifold, to all orders in the $\alpha'$ and $g_s$ expansions, under the assumption that the…

High Energy Physics - Theory · Physics 2026-05-05 Yoav Zigdon

We study vector perturbations about four-dimensional brane-world cosmologies embedded in a five-dimensional vacuum bulk. Even in the absence of matter perturbations, vector perturbations in the bulk metric can support vector metric…

High Energy Physics - Theory · Physics 2009-10-31 Helen A. Bridgman , Karim A. Malik , David Wands

We propose possible properties of quantum gravity in de Sitter space, and find that they relate the value of the cosmological constant to parameters of the Standard Model. In de Sitter space we suggest (i) that the most sharply defined…

High Energy Physics - Theory · Physics 2023-06-07 Mark P. Hertzberg , Abraham Loeb

Taking into account the Green-Schwarz anomaly counterterm in R-symmetry gauged $N=(1,0)$ supergravity in six dimensions, and the associated modification in the Maxwell kinetic term and potential, we observe that the theory admits…

High Energy Physics - Theory · Physics 2025-10-15 Xu Guo , Yi Pang , Ergin Sezgin

We consider de Sitter brane-world motivated by dS/CFT correspondence where both bulk and brane are de Sitter spaces. The brane tension is fixed by holographic RG. The 4d effective action for metric perturbations and 4d graviton correlator…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov , Sachiko Ogushi

We consider Einstein gravity with positive cosmological constant coupled with higher spin interactions and calculate Euclidean path integral perturbatively. We confine ourselves to the static patch of the 3 dimensional de Sitter space. This…

High Energy Physics - Theory · Physics 2015-07-22 Rudranil Basu

Constructing an explicit compactification yielding a metastable de Sitter (dS) vacuum in a UV consistent string theory is an incredibly difficult open problem. Motivated by this issue, as well as the conjecture that all non-supersymmetric…

High Energy Physics - Theory · Physics 2019-10-16 Souvik Banerjee , Ulf Danielsson , Giuseppe Dibitetto , Suvendu Giri , Marjorie Schillo