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With the aim of investigating the relation between gravity and non-locality at the classical level, we study a bilocal scalar field model. Bilocality introduces new (internal) degrees of freedom that seem to reproduce gravity. We show that…

High Energy Physics - Theory · Physics 2017-05-26 Pablo Diaz , Saurya Das , Mark Walton

We study off-shell rigid limits for the kinetic and scalar-potential terms os a single N=2 hypermultiplet. In the kinetic term, these rigid limits establish relations between four-dimensional quaternion-Kahler and hyper-Kahler target spaces…

High Energy Physics - Theory · Physics 2016-11-30 Ignatios Antoniadis , Jean-Pierre Derendinger , P. Marios Petropoulos , Konstantinos Siampos

Quasinormal modes and power-law late-time decay tails of a charged scalar field on a charged black hole have been considered in the literature, and here we use the hyperboloidal formalism to present an independent comparison to prior…

General Relativity and Quantum Cosmology · Physics 2026-01-21 João D. Álvares , Alex Vañó-Viñuales

The well known monopole solution of Barriola and Vilenkin (BV) resulting from the breaking of a global SO(3) symmetry is extended in general relativity along with a zero mass scalar field and also in Brans-Dicke(BD) theory of gravity.In the…

General Relativity and Quantum Cosmology · Physics 2019-08-17 A. Banerjee , A. Beesham , S. Chatterjee , A. A. Sen

We study gravitational quasinormal modes of the Hayward spacetime, a regular black-hole geometry that also admits an interpretation as an effective quantum-corrected solution within asymptotically safe gravity. Using both the higher-order…

General Relativity and Quantum Cosmology · Physics 2025-08-28 S. V. Bolokhov , Milena Skvortsova

In the general frameworks of an earlier introduced quartet-metric/multi-component gravity, a theory of a massive scalar graviton supplementing the massless tensor one is consistently deduced. The peculiarities of the scalar-graviton field…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Yury F. Pirogov

We define a quasilocal energy of a compact manifold-with-boundary, relative to a background manifold. The construction uses spinors on one manifold and the pullback of dual spinors from the other manifold. We prove positivity results for…

Differential Geometry · Mathematics 2023-12-05 John Lott

Scalar-tensor theories offer the prospect of explaining the cosmological evolution of the Universe through an effective description of dark energy as a quantity with a non-trivial evolution. In this work, we investigate this feature of…

General Relativity and Quantum Cosmology · Physics 2022-08-19 S. A. Kadam , B. Mishra , Jackson Levi Said

We study Hawking mass and the Huisken's isoperimetric mass evaluated on surfaces with boundary. The convergence to an ADM mass defined on asymptotically flat manifold with a non-compact boundary are proved.

Differential Geometry · Mathematics 2018-11-16 Xiaoxiang Chai

Stationary, asymptotically flat spacetimes in general relativity can be characterized by their multipole moments. The moments have proved to be very useful tools for extracting information about the spacetime from various observables and,…

General Relativity and Quantum Cosmology · Physics 2015-02-10 George Pappas , Thomas P. Sotiriou

A simple example is given of the implementation of the usual method of asymptotic expansions for weak gravitational fields. A scalar, preferred-frame theory of gravitation is considered, but the method is general. Two kinds of asymptotic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

We describe how a certain simple modification of general relativity, in which the local cosmological constant is allowed to depend on the space-time curvature, predicts the existence of halos of modified gravity surrounding…

General Relativity and Quantum Cosmology · Physics 2009-03-20 Kirill Krasnov , Yuri Shtanov

In \cite{ly, ly2}, Liu and the second author propose a definition of the quasi-local mass and prove its positivity. This is demonstrated through an inequality which in turn can be interpreted as a total mean curvature comparison theorem for…

Differential Geometry · Mathematics 2007-05-23 Mu-Tao Wang , Shing-Tung Yau

We derive a scalar potential in the recently proposed N=1 supersymmetric generalization of f(R) gravity in four space-time dimensions. Any such higher-derivative supergravity is classically equivalent to the standard N=1 supergravity…

High Energy Physics - Theory · Physics 2009-06-25 Sergei V. Ketov

By gauging the Maxwell spacetime algebra the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six fourvector fields A_\mu^{ab}(x) associated with the six abelian tensorial charges in the…

High Energy Physics - Theory · Physics 2011-07-08 Jose A. de Azcarraga , Kiyoshi Kamimura , Jerzy Lukierski

We derive new inequalities between the boundary capacity of an asymptotically flat 3-manifold with nonnegative scalar curvature and boundary quantities that relate to quasi-local mass; one relates to Brown--York mass and the other is new.…

Differential Geometry · Mathematics 2019-12-24 Christos Mantoulidis , Pengzi Miao , Luen-Fai Tam

Here we give an extended review of the quasilinear reformulation of the Lovelock gravitational field equations in harmonic gauge presented in 1409.6656 [gr-qc]. This is important in order to establish rigorously well-posedness of the theory…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Steven Willison

I modify the quasilocal energy formalism of Brown and York into a purely Hamiltonian form. As part of the reformulation, I remove their restriction that the time evolution of the boundary of the spacetime be orthogonal to the leaves of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ivan S. Booth

In this paper we study the scalar and electromagnetic perturbations of an extended black hole in F(R) gravity. The quasinormal modes in two cases are evaluated and studied their behavior by plotting graphs in each case. To study the…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Saneesh Sebastian , V. C. Kuriakose

Both particle physics and the 1890s Seeliger-Neumann modification of Newtonian gravity suggest considering a "mass term" for gravity, yielding a finite range due to an exponentially decaying Yukawa potential. Unlike Nordstr\"{o}m's…

General Relativity and Quantum Cosmology · Physics 2011-02-23 J. Brian Pitts