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For the the quintic quasitopological action which has no well-defined variational principle, we introduced a surface term that for a spacetime with flat boundaries make the action well-defined. Moreover, we investigated the numerical…

General Relativity and Quantum Cosmology · Physics 2021-11-23 A. Bazrafshan , A. R. Olamaei

Based on a mass-selected sample of galaxy-scale strong gravitational lenses from the SLACS, BELLS, LSD and SL2S surveys and using a well-motivated fiducial set of lens-galaxy parameters we tested the weak-field metric on kiloparsec scales…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-08 Shuo Cao , Xiaolei Li , Marek Biesiada , Tengpeng Xu , Yongzhi Cai , Zong-Hong Zhu

Hyperbolic Lagrangian Coherent Structures (LCSs) are locally most repelling or most attracting material surfaces in a finite-time dynamical system. To identify both types of hyperbolic LCSs at the same time instance, the standard practice…

Dynamical Systems · Mathematics 2015-06-12 Mohammad Farazmand , George Haller

The last decade has seen great advancements in the field of modified gravity, motivated by the dark energy problem, or by the search for a fundamental quantum gravity theory. With a phenomenologically-driven approach, we consider dRGT…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Katarina Martinovic , Mairi Sakellariadou

For spacelike stationary (i.e. zero mean curvature) surfaces in 4-dimensional Lorentz space one can naturally introduce two Gauss maps and Weierstrass representation. In this paper we investigate their global geometry systematically. The…

Differential Geometry · Mathematics 2014-02-17 Zhiyu Liu , Xiang Ma , Changping Wang , Peng Wang

We study the conserved charges of supersymmetric solutions in the topologically massive gravity theory for both asymptotically flat and constant curvature geometries.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Serkay Olmez , Ozgur Sarioglu , Bayram Tekin

There are several Teichm\"uller spaces associated to a surface of infinite topological type, after the choice of a particular basepoint (a complex or a hyperbolic structure on the surface). These spaces include the quasiconformal…

Geometric Topology · Mathematics 2018-09-25 Daniele Alessandrini , Lixin Liu , Athanase Papadopoulos , Weixu Su

I review the definition and types of (closed) trapped surfaces. Surprising global properties are shown, such as their "clairvoyance" and the possibility that they enter into flat portions of the spacetime. Several results on the interplay…

General Relativity and Quantum Cosmology · Physics 2015-05-28 José M. M. Senovilla

We consider a non-standard generalized model of gravity coupled to a neutral scalar "inflaton" as well as to the fields of the electroweak bosonic sector. The essential new ingredient is employing two alternative non-Riemannian space-time…

General Relativity and Quantum Cosmology · Physics 2017-09-18 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

Bending the edge of a thin elastic material promotes rigidity far from its clamped boundary. However, this curvature-induced rigidity can be overwhelmed by gravity or other external loading, resulting in elastic buckling and large…

Soft Condensed Matter · Physics 2025-04-16 Hanzhang Mao , Thomas G. J. Chandler , Mark Han , Saverio E. Spagnolie

In this paper are discussed possible many body generalizations of the expanding locally anisotropic metric ansatz with respect to approximately Newtonian gravitational systems. This ansatz consistently describes local point-like matter…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-16 P. Castelo Ferreira

We modify previous quasi-local mass definition. The new definition provides expressions of the quasi-local energy, the quasi-local linear momentum and the quasi-local mass. And they are equal to the ADM expressions at spatial infinity.…

General Relativity and Quantum Cosmology · Physics 2009-12-15 Xiao Zhang

We investigate the astrophysical consequences of black holes in quadratic gravity, characterized by the parameters $S_0$, $S_2$, $m_0$ and $m_2$, in addition to the black hole mass $M$. To evaluate the physical validity of the fundamental…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Somi Aktar , Niyaz Uddin Molla , Farook Rahaman , G. Mustafa

A brief discussion is made about the relevance of surface terms in the Lagrangian and Hamiltonian formulations of theories of gravity. These surface terms play an important role in the variation of the action integral and in the definition…

General Relativity and Quantum Cosmology · Physics 2020-02-25 J. W. Maluf , S. C. Ulhoa , J. F. da Rocha-Neto , F. L. Carneiro

In a general-relativistic spacetime (Lorentzian manifold), gravitational lensing can be characterized by a lens map, in analogy to the lens map of the quasi-Newtonian approximation formalism. The lens map is defined on the celestial sphere…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Volker Perlick

We present an introduction to dynamical trapping horizons as quasi-local models for black hole horizons, from the perspective of an Initial Value Problem approach to the construction of generic black hole spacetimes. We focus on the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 José Luis Jaramillo

The behaviour of geometric quantities close to geometric pathologies of a spacetime is relevant to deduce the physical behaviour of the system. In this work, we compute the quasi-local mass quantities - the Hawking mass, the Brown-York mass…

General Relativity and Quantum Cosmology · Physics 2021-09-30 Nishanth Gudapati , Shing-Tung Yau

We investigate the class of ultralocal metrics on the configuration space of canonical gravity. It is described by a parameter $\alpha$, where $\alpha=0.5$ corresponds to general relativity. For $\alpha$ less than a critical value the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 D. Giulini , C. Kiefer

Non-local theories of gravity have recently gained a lot of interest because they can suitably represent the behavior of gravitational interaction in the ultraviolet regime. Furthermore, at infrared scales, they give rise to notable…

Astrophysics of Galaxies · Physics 2019-03-06 K. F. Dialektopoulos , D. Borka , S. Capozziello , V. Borka Jovanović , P. Jovanović

Weak gravitational lensing provides a means of testing the long-range properties of gravity. Current measurements are consistent with standard Newtonian gravity and inconsistent with substantial modifications on Mpc scales. The data allows…

Astrophysics · Physics 2008-11-26 Martin White , C. S. Kochanek