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Within the general class of Asymptotically Anti-de Sitter spacetimes that are asymptotic to the A-de-S Schwarzschild metric, we give a simple positive mass theorem based on arguments from causal structure. A general result for all…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. Woolgar

In 1,2 or 3 dimensions a scalar wave excited by a non-negative source in a viscoelastic medium with a non-negative relaxation spectrum or a Newtonian response or both combined inherits the sign of the source. The key assumption is a…

材料科学 · 物理学 2013-03-11 Malgorzata Seredynska , Andrzej Hanyga

We calculate the vorticity of world--lines of observers at rest in a Bondi--Sachs frame, produced by gravitational radiation, in a general Sachs metric. We claim that such an effect is related to the super--Poynting vector, in a similar way…

广义相对论与量子宇宙学 · 物理学 2008-11-26 L. Herrera , W. Barreto , J. Carot , A. Di Prisco

In this paper, we obtain a positivity result of a quasi-local mass integral as proposed by Shi and Tam in general dimensions. The main argument is based on the monotonicity of a mass integral in a foliation of quasi-spherical metrics and a…

微分几何 · 数学 2013-04-30 Kwok-Kun Kwong

We use zero angular momentum null geodesics in the Kerr-de Sitter spacetime to transform the metric in a generalised Bondi coordinate system. We write the metric components explicitly. Next, we choose the radial coordinate to be the areal…

广义相对论与量子宇宙学 · 物理学 2021-10-20 Sk Jahanur Hoque , Amitabh Virmani

With the aid of a simple family of examples, we show that the quasi-local mass defined by Kijowski and Liu and Yau, and shown by Liu and Yau to be positive, may be strictly positive for space-like, topologically spherical 2-surfaces in flat…

广义相对论与量子宇宙学 · 物理学 2013-05-29 N. O'Murchadha , L. B. Szabados , K. P. Tod

We study connections among the ADM mass, positive harmonic functions tending to zero at infinity, and the capacity of the boundary of asymptotically flat $3$-manifolds with nonnegative scalar curvature. First we give new formulae that…

微分几何 · 数学 2023-06-12 Pengzi Miao

We extend the positive mass theorem proved previously by the author to the Lorentzian setting. This includes the original higher dimensional positive energy theorem whose spinor proof was given by Witten in dimension four and by Xiao Zhang…

数学物理 · 物理学 2009-11-10 Xianzhe Dai

Extending the work of Park and Strominger, we prove a positive energy theorem for the exactly solvable quantum-corrected 2D dilaton gravity theories. The positive energy functional we construct is shown to be unique (within a reasonably…

高能物理 - 理论 · 物理学 2009-10-22 Adel Bilal

The spacetimes for Vaidya's radiating stellar exterior and Kinnersley's photon rocket in a cosmological background are obtained by performing the same conformal transformation as is used to obtain the Robertson-Walker metric from Minkowski…

广义相对论与量子宇宙学 · 物理学 2008-09-22 M. L. McClure , Kaem Anderson , Kirk Bardahl

Analytical solutions are presented for the electromagnetic radiation by an arbitrary pulsed source into a homogeneous time-varying background medium. In the constant-impedance case an explicit radiation formula is obtained for the…

经典物理 · 物理学 2009-11-16 Neil V. Budko

A positive mass theorem for General Relativity Theory is proved. The proof is 4-dimensional in nature, and relies completely on arguments pertaining to causal structure, the basic idea being that positive energy-density focuses null…

广义相对论与量子宇宙学 · 物理学 2008-02-03 R. Penrose , R. D. Sorkin , E. Woolgar

The NewtonWigner basis of orthonormal localized states is generalized to orthonormal and relativistic biorthonormal bases on an arbitrary hyperplane in spacetime. This covariant formalism is applied to the measurement of photon location…

量子物理 · 物理学 2015-05-30 Margaret Hawton

Using an argument due to Regge and Teitelboim, an expression for the ADM mass of 2d quantum dilaton gravity is obtained. By evaluating this expression we establish that the quantum theories which can be written as a Liouville-like theory,…

高能物理 - 理论 · 物理学 2009-10-22 S. P. de Alwis

This article deals with the thermodynamics of gravitational radiation arising from the Bondi-Sachs space-time. The equation of state found allows us to conclude that the dependence of the energy density on the temperature is a quadratic…

广义相对论与量子宇宙学 · 物理学 2023-08-10 S. C. Ulhoa , F. L. Carneiro , J. W. Maluf

In this paper, we prove the spacetime positive mass theorem for asymptotically flat spin initial data sets with arbitrary ends and a non-compact boundary. Moreover, we demonstrate a quantitative shielding theorem, subject to the tilted…

广义相对论与量子宇宙学 · 物理学 2023-11-28 Daoqiang Liu

We discuss radiation in theories with scalar fields. Our key observation is that even in flat spacetime, the radiative fields depend qualitatively on the coupling of the scalar field to the Ricci scalar: for non-minimally coupled scalars,…

高能物理 - 理论 · 物理学 2020-04-22 Bartomeu Fiol , Jairo Martínez-Montoya

In this paper we argue that classical, asymptotically AdS spacetimes that arise as states in consistent ultraviolet completions of Einstein gravity coupled to matter must satisfy an infinite family of positive energy conditions. To each…

高能物理 - 理论 · 物理学 2016-12-28 Nima Lashkari , Jennifer Lin , Hirosi Ooguri , Bogdan Stoica , Mark Van Raamsdonk

We investigate the negative modes about Coleman-De Luccia bounces governing vacuum transitions in de Sitter space, with the goal of gaining physical insight into the various anomalous results associated with these that have been reported in…

高能物理 - 理论 · 物理学 2014-12-10 Hakjoon Lee , Erick J. Weinberg

We summarize the experimental observations of three case studies on the long-lived rhodium Mossbauer Effect. Extraordinary observations reported in this work manifest the open-up of photonic band gap in analogy to the superconducting gap.…

量子物理 · 物理学 2007-11-18 Yao Cheng , Bing Xia