Living Reviews in Relativity最新文献_第8页

The Kerr/CFT Correspondence and its Extensions Kerr/CFT对应及其扩展

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-10-22 DOI: 10.12942/lrr-2012-11

Geoffrey Compère

{"title":"The Kerr/CFT Correspondence and its Extensions","authors":"Geoffrey Compère","doi":"10.12942/lrr-2012-11","DOIUrl":"https://doi.org/10.12942/lrr-2012-11","url":null,"abstract":"We present a first-principles derivation of the main results of the Kerr/CFT correspondence and its extensions using only tools from gravity and quantum field theory, filling a few gaps in the literature when necessary. Firstly, we review properties of extremal black holes that imply, according to semi-classical quantization rules, that their near-horizon quantum states form a centrally-extended representation of the one-dimensional conformal group. This motivates the conjecture that the extremal Kerr and Reissner-Nordstr?m black holes are dual to the chiral limit of a two-dimensional CFT. We also motivate the existence of an SL(2, ?) family of two-dimensional CFTs, which describe in their chiral limit the extremal Kerr-Newman black hole. We present generalizations in anti-de Sitter spacetime and discuss other matter-coupling and higher-derivative corrections. Secondly, we show how a near-chiral limit of these CFTs reproduces the dynamics of near-superradiant probes around near-extremal black holes in the semi-classical limit. Thirdly, we review how the hidden conformal symmetries of asymptotically-flat black holes away from extremality, combined with their properties at extremality, allow for a microscopic accounting of the entropy of non-extremal asymptotically-flat rotating or charged black holes. We conclude with a list of open problems.","PeriodicalId":686,"journal":{"name":"Living Reviews in Relativity","volume":null,"pages":null},"PeriodicalIF":40.6,"publicationDate":"2012-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.12942/lrr-2012-11","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5174980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 242

Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions 修正牛顿动力学(MOND):观测现象学和相对论扩展

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-09-07 DOI: 10.12942/lrr-2012-10

Benoît Famaey, Stacy S. McGaugh

{"title":"Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions","authors":"Benoît Famaey, Stacy S. McGaugh","doi":"10.12942/lrr-2012-10","DOIUrl":"https://doi.org/10.12942/lrr-2012-10","url":null,"abstract":"A wealth of astronomical data indicate the presence of mass discrepancies in the Universe. The motions observed in a variety of classes of extragalactic systems exceed what can be explained by the mass visible in stars and gas. Either (i) there is a vast amount of unseen mass in some novel form — dark matter — or (ii) the data indicate a breakdown of our understanding of dynamics on the relevant scales, or (iii) both. Here, we first review a few outstanding challenges for the dark matter interpretation of mass discrepancies in galaxies, purely based on observations and independently of any alternative theoretical framework. We then show that many of these puzzling observations are predicted by one single relation — Milgrom’s law — involving an acceleration constant a0 (or a characteristic surface density Σ? = a0/G) on the order of the square-root of the cosmological constant in natural units. This relation can at present most easily be interpreted as the effect of a single universal force law resulting from a modification of Newtonian dynamics (MOND) on galactic scales. We exhaustively review the current observational successes and problems of this alternative paradigm at all astrophysical scales, and summarize the various theoretical attempts (TeVeS, GEA, BIMOND, and others) made to effectively embed this modification of Newtonian dynamics within a relativistic theory of gravity.","PeriodicalId":686,"journal":{"name":"Living Reviews in Relativity","volume":null,"pages":null},"PeriodicalIF":40.6,"publicationDate":"2012-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.12942/lrr-2012-10","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4320063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 555

Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations 连续统与离散初边值问题与爱因斯坦场方程

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-08-27 DOI: 10.12942/lrr-2012-9

Olivier Sarbach, Manuel Tiglio

{"title":"Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations","authors":"Olivier Sarbach, Manuel Tiglio","doi":"10.12942/lrr-2012-9","DOIUrl":"https://doi.org/10.12942/lrr-2012-9","url":null,"abstract":"Many evolution problems in physics are described by partial differential equations on an infinite domain; therefore, one is interested in the solutions to such problems for a given initial dataset. A prominent example is the binary black-hole problem within Einstein’s theory of gravitation, in which one computes the gravitational radiation emitted from the inspiral of the two black holes, merger and ringdown. Powerful mathematical tools can be used to establish qualitative statements about the solutions, such as their existence, uniqueness, continuous dependence on the initial data, or their asymptotic behavior over large time scales. However, one is often interested in computing the solution itself, and unless the partial differential equation is very simple, or the initial data possesses a high degree of symmetry, this computation requires approximation by numerical discretization. When solving such discrete problems on a machine, one is faced with a finite limit to computational resources, which leads to the replacement of the infinite continuum domain with a finite computer grid. This, in turn, leads to a discrete initial-boundary value problem. The hope is to recover, with high accuracy, the exact solution in the limit where the grid spacing converges to zero with the boundary being pushed to infinity.The goal of this article is to review some of the theory necessary to understand the continuum and discrete initial boundary-value problems arising from hyperbolic partial differential equations and to discuss its applications to numerical relativity; in particular, we present well-posed initial and initial-boundary value formulations of Einstein’s equations, and we discuss multi-domain high-order finite difference and spectral methods to solve them.","PeriodicalId":686,"journal":{"name":"Living Reviews in Relativity","volume":null,"pages":null},"PeriodicalIF":40.6,"publicationDate":"2012-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.12942/lrr-2012-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5031032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 108

Binary Neutron Star Mergers 双中子星合并

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-07-04 DOI: 10.12942/lrr-2012-8

Joshua A. Faber, Frederic A. Rasio

{"title":"Binary Neutron Star Mergers","authors":"Joshua A. Faber, Frederic A. Rasio","doi":"10.12942/lrr-2012-8","DOIUrl":"https://doi.org/10.12942/lrr-2012-8","url":null,"abstract":"We review the current status of studies of the coalescence of binary neutron star systems. We begin with a discussion of the formation channels of merging binaries and we discuss the most recent theoretical predictions for merger rates. Next, we turn to the quasi-equilibrium formalisms that are used to study binaries prior to the merger phase and to generate initial data for fully dynamical simulations. The quasi-equilibrium approximation has played a key role in developing our understanding of the physics of binary coalescence and, in particular, of the orbital instability processes that can drive binaries to merger at the end of their lifetimes. We then turn to the numerical techniques used in dynamical simulations, including relativistic formalisms, (magneto-)hydrodynamics, gravitational-wave extraction techniques, and nuclear microphysics treatments. This is followed by a summary of the simulations performed across the field to date, including the most recent results from both fully relativistic and microphysically detailed simulations. Finally, we discuss the likely directions for the field as we transition from the first to the second generation of gravitational-wave interferometers and while supercomputers reach the petascale frontier.","PeriodicalId":686,"journal":{"name":"Living Reviews in Relativity","volume":null,"pages":null},"PeriodicalIF":40.6,"publicationDate":"2012-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.12942/lrr-2012-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4165614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 188

Stationary Black Holes: Uniqueness and Beyond 静止的黑洞:独特性和超越

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-05-29 DOI: 10.12942/lrr-2012-7

Piotr T. Chruściel, João Lopes Costa, Markus Heusler

引用次数: 342

Dynamical Boson Stars 动态玻色子星

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-05-08 DOI: 10.12942/lrr-2012-6

Steven L. Liebling, Carlos Palenzuela

引用次数: 289

Quantum Measurement Theory in Gravitational-Wave Detectors 引力波探测器中的量子测量理论

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-04-26 DOI: 10.12942/lrr-2012-5

Stefan L. Danilishin, Farid Ya. Khalili

{"title":"Quantum Measurement Theory in Gravitational-Wave Detectors","authors":"Stefan L. Danilishin, Farid Ya. Khalili","doi":"10.12942/lrr-2012-5","DOIUrl":"https://doi.org/10.12942/lrr-2012-5","url":null,"abstract":"The fast progress in improving the sensitivity of the gravitational-wave detectors, we all have witnessed in the recent years, has propelled the scientific community to the point at which quantum behavior of such immense measurement devices as kilometer-long interferometers starts to matter. The time when their sensitivity will be mainly limited by the quantum noise of light is around the corner, and finding ways to reduce it will become a necessity. Therefore, the primary goal we pursued in this review was to familiarize a broad spectrum of readers with the theory of quantum measurements in the very form it finds application in the area of gravitational-wave detection. We focus on how quantum noise arises in gravitational-wave interferometers and what limitations it imposes on the achievable sensitivity. We start from the very basic concepts and gradually advance to the general linear quantum measurement theory and its application to the calculation of quantum noise in the contemporary and planned interferometric detectors of gravitational radiation of the first and second generation. Special attention is paid to the concept of the Standard Quantum Limit and the methods of its surmounting.","PeriodicalId":686,"journal":{"name":"Living Reviews in Relativity","volume":null,"pages":null},"PeriodicalIF":40.6,"publicationDate":"2012-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.12942/lrr-2012-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4990598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 127

Gravitational-Wave Data Analysis. Formalism and Sample Applications: The Gaussian Case 引力波数据分析。形式主义和示例应用:高斯情况

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-03-09 DOI: 10.12942/lrr-2012-4

Piotr Jaranowski, Andrzej Królak

引用次数: 41

Brane Effective Actions, Kappa-Symmetry and Applications 膜有效作用、kappa对称及其应用

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-02-27 DOI: 10.12942/lrr-2012-3

Joan Simón

{"title":"Brane Effective Actions, Kappa-Symmetry and Applications","authors":"Joan Simón","doi":"10.12942/lrr-2012-3","DOIUrl":"https://doi.org/10.12942/lrr-2012-3","url":null,"abstract":"This is a review on brane effective actions, their symmetries and some of their applications. Its first part covers the Green-Schwarz formulation of single M- and D-brane effective actions focusing on kinematical aspects: the identification of their degrees of freedom, the importance of world volume diffeomorphisms and kappa symmetry to achieve manifest spacetime covariance and supersymmetry, and the explicit construction of such actions in arbitrary on-shell supergravity backgrounds.Its second part deals with applications. First, the use of kappa symmetry to determine supersymmetric world volume solitons. This includes their explicit construction in flat and curved backgrounds, their interpretation as Bogomol’nyi-Prasad-Sommerfield (BPS) states carrying (topological) charges in the supersymmetry algebra and the connection between supersymmetry and Hamiltonian BPS bounds. When available, I emphasise the use of these solitons as constituents in microscopic models of black holes. Second, the use of probe approximations to infer about the non-trivial dynamics of strongly-coupled gauge theories using the anti de Sitter/conformal field theory (AdS/CFT) correspondence. This includes expectation values of Wilson loop operators, spectrum information and the general use of D-brane probes to approximate the dynamics of systems with small number of degrees of freedom interacting with larger systems allowing a dual gravitational description.Its final part briefly discusses effective actions for N D-branes and M2-branes. This includes both Super-Yang-Mills theories, their higher-order corrections and partial results in covariantising these couplings to curved backgrounds, and the more recent supersymmetric Chern-Simons matter theories describing M2-branes using field theory, brane constructions and 3-algebra considerations.","PeriodicalId":686,"journal":{"name":"Living Reviews in Relativity","volume":null,"pages":null},"PeriodicalIF":40.6,"publicationDate":"2012-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.12942/lrr-2012-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5035156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 45

Characteristic Evolution and Matching 特征演化与匹配

IF 40.6 2区物理与天体物理

Living Reviews in Relativity Pub Date : 2012-01-25 DOI: 10.12942/lrr-2012-2

Jeffrey Winicour

引用次数: 140