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We derive the asymptotic solutions for vacuum spacetimes with non-zero cosmological constant $\Lambda$, using the Newman-Penrose formalism. Our approach is based exclusively on the physical spacetime, i.e. we do not explicitly deal with…

广义相对论与量子宇宙学 · 物理学 2016-11-09 Vee-Liem Saw

In a classical description the spacetime curvature inside a black hole infinitely grows. In the domain where it reaches the Planckian value and exceeds it the Einstein equations should be modified. In the absence of reliable theory of…

高能物理 - 理论 · 物理学 2015-06-18 Valeri P. Frolov

Exact nonstatic spherically symmetric black-hole solution of the higher dimensional Einstein-Yang-Mills equations for a null dust with Yang-Mills gauge charge are obtained by employing Wu-Yang \textit{ansatz}, namely, HD-EYM Vaidya…

广义相对论与量子宇宙学 · 物理学 2011-11-10 Sushant G. Ghosh , Naresh Dadhich

The motive of this work is to study gravitational collapse in Vaidya space-time embedded in Galileon gravity theory. Galileon gravity is in fact an infrared modification of Einstein gravity, which was proposed as a generalization of the 4D…

综合物理 · 物理学 2015-06-18 Prabir Rudra , Ujjal Debnath

As a generalization of the Schwarzschild solution, Vaidya presented a radiating metric to develop a model of the exterior of a star including its radiation field, called Vaidya metric. The present paper deals with the investigation on the…

微分几何 · 数学 2019-05-08 Absos Ali Shaikh , Haradhan Kundu , Jayshree Sen

A null fluid with radial pressure is proposed as the source generating Vaidya spacetime. The fluid is anisotropic with no transversal pressures and $p = \rho/3$ as its equation of state, where $p$ is the isotropic pressure and $\rho$ is the…

广义相对论与量子宇宙学 · 物理学 2017-12-15 Hristu Culetu

We study in $\mathbb{R}^{3+1}$ a system of nonlinearly coupled Klein-Gordon equations under null condition, with (possibly vanishing) mass varying in the interval $[0, 1]$. Our goal is three folds: 1) we want to establish the global…

偏微分方程分析 · 数学 2020-04-23 Shijie Dong

We study the effect of spatially dependent mass functions over the solution of the Klein-Gordon equation in the (3+1)-dimensions for spinless bosonic particles where the mixed scalar-vector Coulomb-like field potentials and masses are…

数学物理 · 物理学 2009-06-09 Sameer M. Ikhdair

The classical Vaidya metric is transformed to the special diagonal coordinates in the case of the linear mass function allowing rather easy treatment. We find the exact analytical expressions for metric functions in these diagonal…

广义相对论与量子宇宙学 · 物理学 2016-06-21 V. A. Berezin , V. I. Dokuchaev , Yu. N. Eroshenko

The Vaidya solution describes the gravitational collapse of a finite shell of incoherent radiation falling into flat spacetime and giving rise to a Schwarzschild black hole. There has been a question whether closed trapped surfaces can…

广义相对论与量子宇宙学 · 物理学 2009-02-18 Ingemar Bengtsson , José M. M. Senovilla

The approach of direct integration of the three-dimensional Faddeev equations with respect to the breakup T-matrix in momentum space for three bodies of different masses is presented. The Faddeev equations are written out explicitly without…

量子物理 · 物理学 2025-02-03 Mikhail Egorov

We analyze the problem of gravitational collapse considering the matching of an exterior region described by the Vaidya's metric and an interior region described by a spherically symmetric shear-free inhomogeneous geometry sourced by a…

广义相对论与量子宇宙学 · 物理学 2026-02-25 Eduardo Bittencourt , Vanessa P Freitas , José M Salim , Grasiele B Santos

Recently we have studied, using a boundary-value approach, quantum amplitudes resulting from gravitational collapse to a black hole. Suitable boundary data for all fields present are posed on initial and final space-like asymptotically flat…

广义相对论与量子宇宙学 · 物理学 2009-11-11 A. N. St. J. Farley , P. D. D'Eath

In this work, we study the gravitational collapse procedure in generalized Vaidya spacetime with Bose-Einstein condensate dark matter density profile. We use the generalized Vaidya metric to simulate the spacetime of a big star and…

广义相对论与量子宇宙学 · 物理学 2024-11-05 Prabir Rudra

We consider solutions to the massless Vlasov equation on the domain of outer communications of the Schwarschild black hole. By adapting the r^p-weighted energy method of Dafermos and Rodnianski, used extensively in order to study wave…

偏微分方程分析 · 数学 2023-10-05 Léo Bigorgne

There are two important statements regarding the Trautman-Bondi mass [1,8,5] at null infinity: one is the positivity [7,6], and the other is the Bondi mass loss formula [1], which are both global in nature. The positivity of the quasi-local…

微分几何 · 数学 2016-08-23 Po-Ning Chen , Mu-Tao Wang , Shing-Tung Yau

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

We present a new method by which, in principle, it is possible to "see in absolute darkness," i.e., without exchanging any real quanta through quantum fields. This is possible because objects modify the mode structure of the vacuum in their…

广义相对论与量子宇宙学 · 物理学 2019-10-30 Aida Ahmadzadegan , Fatemeh Lalegani , Achim Kempf , Robert B. Mann

Based on some observations, the apparent energy, associated with gravity, of vacuums is defined, with that of normal vacuums to be zero and that of the vacuums losing some energy to be negative. An important application of the energy is its…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yi-Ping Qin

The Mineur--Vaidya radiating solutions satisfy $\mathcal{L}_m ~\propto~ F^2 = 0 = R$. As a consequence, it is not only a solution in General Relativity, but also in Einstein--Maxwell--dilaton theories for all coupling constants. The…

广义相对论与量子宇宙学 · 物理学 2026-02-25 Olivier Minazzoli , Maxime Wavasseur