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A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model,…

高能物理 - 理论 · 物理学 2009-07-10 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

The Euclidean Einstein-Hilbert action is well-known to be unbounded below and thus to raise many questions regarding the definition of the gravitational path integral. A variety of works since the late 1980's have suggested that this…

高能物理 - 理论 · 物理学 2025-08-28 Gary T. Horowitz , Donald Marolf , Jorge E. Santos

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

高能物理 - 理论 · 物理学 2023-03-29 Qi-Yuan Mao , H. Lu

We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2…

高能物理 - 理论 · 物理学 2015-06-11 Anna Ceresole , Sergio Ferrara , Alessandra Gnecchi , Alessio Marrani

We show that, within a broad stationary-axisymmetric class, Kerr-type separability and hidden symmetry arise as a local consequence of the Einstein equations. Without assuming separability, algebraic speciality, Killing--Yano symmetry, or…

广义相对论与量子宇宙学 · 物理学 2026-04-29 Hyeong-Chan Kim

In this work, we take a short recap of a formal framework of the Eddington-inspired Born-Infeld (EiBI) theory of gravity and derive the point-like Lagrangian for underlying theory based on the use of Noether gauge symmetries (NGS). We study…

广义相对论与量子宇宙学 · 物理学 2021-04-27 Thanyagamon Kanesom , Phongpichit Channuie , Narakorn Kaewkhao

We study Einstein gravity in dimensions $D\geq 4$ modified by curvature squared at critical point where the theory contains only massless gravitons. We show that at the critical point a new mode appears leading to a logarithmic gravity in…

高能物理 - 理论 · 物理学 2011-05-12 Mohsen Alishahiha , Reza Fareghbal

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Yuri N. Obukhov

We study linearized gravitational perturbations of extreme black hole solutions of the vacuum Einstein equation in any number of dimensions. We find that the equations governing such perturbations can be decoupled at the future event…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Keiju Murata

We construct a generalized massive gravity by combining quadratic curvature gravity with the Chern-Simons term in four dimensions. This may be a candidate for the parity-odd tricritical gravity theory. Considering the AdS$_4$ vacuum…

高能物理 - 理论 · 物理学 2015-06-05 Taeyoon Moon , Yun Soo Myung

There is a class of higher derivative gravity theories that are in some sense natural extensions of cosmological Einstein's gravity with a unique maximally symmetric classical vacuum and only a massless spin-2 excitation about the vacuum…

高能物理 - 理论 · 物理学 2018-01-08 Gokcen Deniz Ozen , Sahin Kurekci , Bayram Tekin

We review some aspects of the spinorial geometry approach to the classification of supersymmetric solutions of supergravity theories. In particular, we explain how spinorial geometry can be used to express the Killing spinor equations in…

高能物理 - 理论 · 物理学 2008-11-26 U. Gran , J. Gutowski , G. Papadopoulos , D. Roest

A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as…

高能物理 - 理论 · 物理学 2017-04-26 Christopher D. Carone , Joshua Erlich , Diana Vaman

We consider a class of higher order corrections in the form of Euler densities of arbitrary rank $n$ to the standard gravity action in $D$ dimensions. We have previously shown that this class of corrections allows for domain wall solutions…

高能物理 - 理论 · 物理学 2008-11-26 Krzysztof A. Meissner , Marek Olechowski

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Christian G. Boehmer , Erik Jensko

We consider static, spherically symmetric vacuum solutions to the equations of a theory of gravity with the Lagrangian f(R) where R is the scalar curvature and f is an arbitrary function. Using a well-known conformal transformation, the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 K. A. Bronnikov , M. S. Chernakova

Finding vacua of supergravity theories is an outstanding problem which has been tackled in several ways, and with this work we add a new method to the puzzle. We analyse the scalar sector of maximal gauged supergravity theories in seven…

高能物理 - 理论 · 物理学 2022-10-06 Dario Partipilo

We have obtained the most general solution of the Einstein vacuum equation for the axially symmetric stationary metric in which both the Hamilton-Jacobi equation for particle motion and the Klein - Gordon equation are separable. It can be…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Naresh Dadhich , Z. Ya. Turakulov

We apply in a simple model derived from quadratic $\mathcal{R}^2$ gravity the technique of Dyson-Schwinger equations to solve for its corresponding quantum theory. Particularly, we solve the classical equations of motion to get a solution…

高能物理 - 理论 · 物理学 2025-12-29 Sayantan Choudhury , Marco Frasca , Anish Ghoshal

The curvature-squared model of gravity, in the affine form proposed by Weyl and Yang, is deduced from a topological action in 4D. More specifically, we start from the Pontrjagin (or Euler) invariant. Using the BRST antifield formalism with…

高能物理 - 理论 · 物理学 2014-11-18 Eckehard W. Mielke
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