General Relativity and Gravitation最新文献_第3页

Height-function-based 4D reference metrics for hyperboloidal evolution 基于高度函数的双曲面演化 4D 参考指标

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-11-07 DOI: 10.1007/s10714-024-03323-8

Alex Vañó-Viñuales, Tiago Valente

{"title":"Height-function-based 4D reference metrics for hyperboloidal evolution","authors":"Alex Vañó-Viñuales, Tiago Valente","doi":"10.1007/s10714-024-03323-8","DOIUrl":"10.1007/s10714-024-03323-8","url":null,"abstract":"<div><p>Hyperboloidal slices are spacelike slices that reach future null infinity. Their asymptotic behaviour is different from Cauchy slices, which are traditionally used in numerical relativity simulations. This work uses free evolution of the formally-singular conformally compactified Einstein equations in spherical symmetry. One way to construct gauge conditions suitable for this approach relies on building the gauge source functions from a time-independent background spacetime metric. This background reference metric is set using the height function approach to provide the correct asymptotics of hyperboloidal slices of Minkowski spacetime. The present objective is to study the effect of different choices of height function on hyperboloidal evolutions via the reference metrics used in the gauge conditions. A total of 10 reference metrics for Minkowski are explored, identifying some of their desired features. They include 3 hyperboloidal layer constructions, evolved with the non-linear Einstein equations for the first time. Focus is put on long-term numerical stability of the evolutions, including small initial gauge perturbations. The results will be relevant for future (puncture-type) hyperboloidal evolutions, 3D simulations and the development of coinciding Cauchy and hyperboloidal data, among other applications.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"56 11","pages":""},"PeriodicalIF":2.1,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-024-03323-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142594578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The study of the canonical forms of Killing tensor in vacuum with (Lambda ) 有$$Lambda $$的真空中基林张量的规范形式研究

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-11-06 DOI: 10.1007/s10714-024-03321-w

D. Kokkinos, T. Papakostas

{"title":"The study of the canonical forms of Killing tensor in vacuum with (Lambda )","authors":"D. Kokkinos, T. Papakostas","doi":"10.1007/s10714-024-03321-w","DOIUrl":"10.1007/s10714-024-03321-w","url":null,"abstract":"<div><p>This paper is the initial part of a comprehensive study of spacetimes that admit the canonical forms of Killing tensor in General Relativity. The general scope of the study is to derive either new exact solutions of Einstein’s equations that exhibit hidden symmetries or to identify the hidden symmetries in already known spacetimes that may emerge during the resolution process. In this preliminary paper, we first introduce the canonical forms of Killing tensor, based on a geometrical approach to classify the canonical forms of symmetric 2-rank tensors, as postulated by R. V. Churchill. Subsequently, the derived integrability conditions of the canonical forms serve as additional equations transforming the under-determined system of equations, comprising of Einstein’s Field Equations and the Bianchi Identities (in vacuum with <span>(Lambda )</span>), into an over-determined one. Using a null rotation around the null tetrad frame we manage to simplify the system of equations to the point where the geometric characterization (Petrov Classification) of the extracted solutions can be performed and their null congruences can be characterized geometrically. Therein, we obtain multiple special algebraic solutions according to the Petrov classification (D, III, N, O) where some of them appeared to be new. The latter becomes possible since our analysis is embodied with the usage of the Newman-Penrose formalism of null tetrads.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"56 11","pages":""},"PeriodicalIF":2.1,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142594580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Again about singularity crossing in gravitation and cosmology 再谈引力和宇宙学中的奇点穿越

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-11-02 DOI: 10.1007/s10714-024-03320-x

Alexander Kamenshchik

引用次数: 0

Colliding gravitino plane waves in (N=1) supergravity 在 $N=1$$ 超级引力中对撞引力平面波

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-10-29 DOI: 10.1007/s10714-024-03319-4

Tekin Dereli, Yorgo Şenikoğlu

引用次数: 0

Numerical investigation of the late-time tails of the solutions of the Fackerell–Ipser equation 法克尔-伊普瑟方程解的晚期尾部数值研究

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-10-25 DOI: 10.1007/s10714-024-03316-7

István Rácz, Gábor Zsolt Tóth

{"title":"Numerical investigation of the late-time tails of the solutions of the Fackerell–Ipser equation","authors":"István Rácz, Gábor Zsolt Tóth","doi":"10.1007/s10714-024-03316-7","DOIUrl":"10.1007/s10714-024-03316-7","url":null,"abstract":"<div><p>The late-time behaviour of the solutions of the Fackerell–Ipser equation (which is a wave equation for the spin-zero component of the electromagnetic field strength tensor) on the closure of the domain of outer communication of sub-extremal Kerr spacetime is studied numerically. Within the Kerr family, the case of Schwarzschild background is also considered. Horizon-penetrating compactified hyperboloidal coordinates are used, which allow the behaviour of the solutions to be observed at the event horizon and at future null infinity as well. For the initial data, pure multipole configurations that have compact support and are either stationary or non-stationary are taken. It is found that with such initial data the solutions of the Fackerell–Ipser equation converge at late times either to a known static solution (up to a constant factor) or to zero. As the limit is approached, the solutions exhibit a quasinormal ringdown and finally a power-law decay. The exponents characterizing the power-law decay of the spherical harmonic components of the field variable are extracted from the numerical data for various values of the parameters of the initial data, and based on the results a proposal for a Price’s law relevant to the Fackerell–Ipser equation is made. Certain conserved energy and angular momentum currents are used to verify the numerical implementation of the underlying mathematical model. In the construction of these currents a discrete symmetry of the Fackerell–Ipser equation, which is the product of an equatorial reflection and a complex conjugation, is also taken into account.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"56 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2024-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-024-03316-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142489700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Evolution of axial perturbations in a non-rotating uncharged primordial black hole 非旋转无电荷原始黑洞的轴向扰动演变

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-10-22 DOI: 10.1007/s10714-024-03309-6

Arnab Sarkar, Sabiruddin Molla, K. Rajesh Nayak

{"title":"Evolution of axial perturbations in a non-rotating uncharged primordial black hole","authors":"Arnab Sarkar, Sabiruddin Molla, K. Rajesh Nayak","doi":"10.1007/s10714-024-03309-6","DOIUrl":"10.1007/s10714-024-03309-6","url":null,"abstract":"<div><p>We derive the equation governing the axial-perturbations in the space-time of a non-rotating uncharged primordial black hole (PBH), produced in early Universe, whose metric has been taken as the generalized McVittie metric. The generalized McVittie metric is a cosmological black hole metric, proposed by Faraoni and Jacques in 2007 (Phys. Rev. D 76:063510, 2007). This describes the space-time of a Schwarzschild black hole embedded in FLRW-Universe, while allowing its mass-change. Our derivation has basic similarities with the procedure of derivation of Chandrasekhar, for deriving the Regge-Wheeler equation for Schwarzschild metric (Chandrasekhar The Mathematical Theory of Black holes, Oxford University Press, New York, 1983); but it has some distinct differences with that due to the complexity and time-dependency of the generalized McVittie metric. We show that after applying some approximations which are very well valid in the early radiation-dominated Universe, the overall equation governing the axial perturbations can be separated into radial and angular parts, among which the radial part is the intended one, as the angular part is identical to the case of Schwarzschild metric as expected. We identify the potential from the Schrödinger-like format of the equation and draw some physical interpretation from it.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"56 10","pages":""},"PeriodicalIF":2.1,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-024-03309-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142453127","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Editorial note to: On the motion of spinning particles in general relativity by Jean-Marie Souriau 编辑注释让-玛丽-苏里奥：论广义相对论中的旋转粒子运动

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-10-21 DOI: 10.1007/s10714-024-03294-w

Thibault Damour, Patrick Iglesias-Zemmour

引用次数: 0

Republication of: On the motion of spinning particles in general relativity by Jean-Marie Souriau 再版：让-马里-苏里奥：论广义相对论中旋转粒子的运动

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-10-21 DOI: 10.1007/s10714-024-03295-9

Jean-Marie Souriau

引用次数: 0

The scale(s) of quantum gravity and integrable black holes 量子引力和可积分黑洞的尺度

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-10-21 DOI: 10.1007/s10714-024-03318-5

Roberto Casadio

引用次数: 0

The non-relativistic geometric trinity of gravity 非相对论几何三位一体引力

IF 2.1 4区物理与天体物理

General Relativity and Gravitation Pub Date : 2024-10-18 DOI: 10.1007/s10714-024-03308-7

William J. Wolf, James Read, Quentin Vigneron

引用次数: 0