General Relativity and Gravitation最新文献

筛选
英文 中文
Dynamical Wormhole Solutions in f(R, T) Gravity f(R, T)重力下的动态虫洞解
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-19 DOI: 10.1007/s10714-025-03452-8
Yaghoub Heydarzade, Maryam Ranjbar
{"title":"Dynamical Wormhole Solutions in f(R, T) Gravity","authors":"Yaghoub Heydarzade,&nbsp;Maryam Ranjbar","doi":"10.1007/s10714-025-03452-8","DOIUrl":"10.1007/s10714-025-03452-8","url":null,"abstract":"<div><p>A class of <i>f</i>(<i>R</i>, <i>T</i>) theories extends the Einstein-Hilbert action by incorporating a general function of <i>R</i> and <i>T</i>, the Ricci scalar and the trace of the ordinary energy-momentum tensor <span>(T_{mu nu })</span>, respectively, thereby introducing a specific modification to the Einstein’s field equations based on matter fields. Given that this modification is intrinsically tied to an energy-momentum tensor <span>(T_{mu nu })</span> that a priori respects energy conditions, we explore the potential of <i>f</i>(<i>R</i>, <i>T</i>) theories admitting wormhole configurations satisfying energy conditions, unlike General Relativity, which typically necessitates exotic matter sources. Consequently, we investigate the existence of dynamical wormhole geometries that either uphold energy conditions or minimize their violations within the framework of trace of energy-momentum tensor squared gravity. To ensure the generality of our study, we consider two distinct equations of state for the matter content and systematically classify possible solutions based on constraints related to the wormhole’s throat size, the coupling parameter of the theory, and the equation of state parameters.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924598","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
Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime Bonnor-Melvin-Lambda时空中旋转框架中带电狄拉克振子的束缚态解
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-16 DOI: 10.1007/s10714-025-03447-5
R. R. S. Oliveira
{"title":"Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime","authors":"R. R. S. Oliveira","doi":"10.1007/s10714-025-03447-5","DOIUrl":"10.1007/s10714-025-03447-5","url":null,"abstract":"<div><p>In this paper, we determine the relativistic bound-state solutions for the charged (DO) Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime in <span>((2+1))</span>-dimensions, where such solutions are given by the two-component normalizable Dirac spinor and by the relativistic energy spectrum. To analytically solve our problem, we consider two approximations, where the first is that the cosmological constant is very small (conical approximation), and the second is that the linear velocity of the rotating frame is much less than the speed of light (slow rotation regime). After solving a second-order differential equation, we obtain a generalized Laguerre equation, whose solutions are the generalized Laguerre polynomials. Consequently, we obtain the energy spectrum, which is quantized in terms of the radial and total magnetic quantum numbers <i>n</i> and <span>(m_j)</span>, and depends on the angular frequency <span>(omega )</span> (describes the DO), cyclotron frequency <span>(omega _c)</span> (describes the external magnetic field), angular velocity <span>(Omega )</span> (describes the rotating frame), spin parameter <i>s</i> (describes the “spin”), spinorial parameter <i>u</i> (describes the components of the spinor), effective rest mass <span>(m_{eff})</span> (describes the rest mass modified by the spin-rotation coupling), and on a real parameter <span>(sigma )</span> and cosmological constant <span>(Lambda )</span> (describes the Bonnor-Melvin-Lambda spacetime). In particular, we note that this spectrum is asymmetrical (due to <span>(Omega )</span>) and has its degeneracy broken (due to <span>(sigma )</span> and <span>(Lambda )</span>). Besides, we also graphically analyze the behavior of the spectrum and of the probability density as a function of the parameters of the system for different values of <i>n</i> and <span>(m_j)</span>.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924599","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
Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh’s approach 黑洞扰动的准正模展开:双曲Keldysh方法
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-14 DOI: 10.1007/s10714-025-03438-6
Jérémy Besson, José Luis Jaramillo
{"title":"Quasi-normal mode expansions of black hole perturbations: a hyperboloidal Keldysh’s approach","authors":"Jérémy Besson,&nbsp;José Luis Jaramillo","doi":"10.1007/s10714-025-03438-6","DOIUrl":"10.1007/s10714-025-03438-6","url":null,"abstract":"<div><p>We study quasinormal mode expansions by adopting a Keldysh scheme for the spectral construction of asymptotic resonant expansions. Quasinormal modes are first cast in terms of a non-selfadjoint problem by adopting, in a black hole perturbation setting, a spacetime hyperboloidal approach. Then the Keldysh expansion of the resolvent, built on bi-orthogonal systems, provides a spectral version of Lax-Phillips expansions on scattering resonances. We clarify the role of scalar product structures in the Keldysh setting [1], that prove non-necessary to construct the resonant expansions (in particular the quasinormal mode time-series at null infinity), but are required to define the (constant) excitation coefficients in the bulk resonant expansion. We demonstrate the efficiency and accuracy of the Keldysh spectral approach to (non-selfadjoint) dynamics, even beyond its limits of validity, in particular recovering Schwarzschild black hole late power-law tails. We also study early dynamics by exploring i) the existence of an earliest time of validity of the resonant expansion and ii) the interplay between overtones extracted with the Keldysh scheme and regularity. Specifically, we address convergence aspects of the series and, on the other hand, we implement non-modal analysis tools, namely assessing <span>(H^p)</span>-Sobolev dynamical transient growths and constructing <span>(H^p)</span>-pseudospectra. Finally, we apply the Keldysh scheme to calculate “second-order” quasinormal modes and complement the qualitative study of overtone distribution by presenting the Weyl law for the counting of quasinormal modes in black holes with different (flat, De Sitter, anti-De Sitter) spacetime asymptotics.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03438-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924600","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
Publisher Correction: Cosmic inflation from entangled qubits: a white hole model for emergent spacetime 来自纠缠量子比特的宇宙膨胀:新兴时空的白洞模型
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-09 DOI: 10.1007/s10714-025-03434-w
Roger Eugene Hill
{"title":"Publisher Correction: Cosmic inflation from entangled qubits: a white hole model for emergent spacetime","authors":"Roger Eugene Hill","doi":"10.1007/s10714-025-03434-w","DOIUrl":"10.1007/s10714-025-03434-w","url":null,"abstract":"","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03434-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163831","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
Topical Collection – Black Holes Inside and Out 2024: Visions for the future of black hole physics 专题合集-黑洞内外2024:对黑洞物理学未来的展望
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-09 DOI: 10.1007/s10714-025-03444-8
Luca Buoninfante, Raúl Carballo-Rubio, Vitor Cardoso, Francesco Di Filippo, Astrid Eichhorn
{"title":"Topical Collection – Black Holes Inside and Out 2024: Visions for the future of black hole physics","authors":"Luca Buoninfante,&nbsp;Raúl Carballo-Rubio,&nbsp;Vitor Cardoso,&nbsp;Francesco Di Filippo,&nbsp;Astrid Eichhorn","doi":"10.1007/s10714-025-03444-8","DOIUrl":"10.1007/s10714-025-03444-8","url":null,"abstract":"","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163276","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
Correction to: geometrical origin of the cosmological constant, Gen. Relativ. Gravit. 44, 2547-2561 (2012) 修正:宇宙常数的几何起源,相对论。重力,44,2547-2561 (2012)
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-08 DOI: 10.1007/s10714-025-03445-7
Meriem Hameurlaine, Hemza Azri, Abdelhafid Bounames
{"title":"Correction to: geometrical origin of the cosmological constant, Gen. Relativ. Gravit. 44, 2547-2561 (2012)","authors":"Meriem Hameurlaine,&nbsp;Hemza Azri,&nbsp;Abdelhafid Bounames","doi":"10.1007/s10714-025-03445-7","DOIUrl":"10.1007/s10714-025-03445-7","url":null,"abstract":"<div><p>Correction to: Geometrical Origin of the Cosmological Constant, Gen. Relativ. Gravit. 44, 2547-2561 (2012). https://doi.org/10.1007/s10714-012-1413-9</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924602","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
Preparation of a Cross-linked CTS Composite Ion Sieve and a Study of Lithium Adsorption from Oilfield Brines 交联CTS复合离子筛的制备及对油田卤水中锂的吸附研究
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-07 DOI: 10.1007/s10230-025-01065-w
Yuyu Gao, Bingbing Chen, Zhili Zhang
{"title":"Preparation of a Cross-linked CTS Composite Ion Sieve and a Study of Lithium Adsorption from Oilfield Brines","authors":"Yuyu Gao, Bingbing Chen, Zhili Zhang","doi":"10.1007/s10230-025-01065-w","DOIUrl":"https://doi.org/10.1007/s10230-025-01065-w","url":null,"abstract":"<p>The development of new technologies for extracting lithium from alternative sources, such as liquid brines, has become increasingly important. Among these technologies, lithium ion sieve adsorbents have garnered widespread attention due to their advantages, including simplicity of operation, low environmental impact, and recyclability. In this study, a crosslinked chitosan/H<sub>1.6</sub>Mn<sub>1.6</sub>O<sub>4</sub> (CTS/HMO) adsorbent with excellent adsorption performance for Li<sup>+</sup> in oilfield brine was prepared by coating crosslinked CTS onto lithium manganese oxides. The optimal conditions for Li<sup>+</sup> adsorption from brine using the crosslinked CTS/HMO adsorbent were found to be a temperature of 30 °C and a pH of 12, with a maximum adsorption capacity of 31.7 mg/g. After five adsorption–desorption cycles, the adsorbent's capacity decreased by only 3.15%, retaining an adsorption capacity of 30.7 mg/g, demonstrating its strong cyclic stability. This study offers a novel approach for the efficient recovery of lithium resources from oilfield brines.</p><h3 data-test=\"abstract-sub-heading\">Graphical Abstract</h3>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"15 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144928674","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
Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field 非最小耦合标量场全息暗能量的宇宙学动力学
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-07-02 DOI: 10.1007/s10714-025-03442-w
Amornthep Tita, Burin Gumjudpai, Pornrad Srisawad
{"title":"Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field","authors":"Amornthep Tita,&nbsp;Burin Gumjudpai,&nbsp;Pornrad Srisawad","doi":"10.1007/s10714-025-03442-w","DOIUrl":"10.1007/s10714-025-03442-w","url":null,"abstract":"<div><p>In this study, we consider FRW universe filled with matter, non-minimally coupling (NMC) scalar field under <span>(V(phi ) = V_{0}phi ^{2})</span> potential and holographic vacuum energy. Dark energy is contributed from both holographic vacuum energy and the NMC scalar field. NMC effective gravitational constant <span>(G_text {eff}(phi ))</span>, is naturally defined at the action level. Therefore, the gravitational constant in the holographic vacuum density is an effective one, i.e. <span>( rho _{Lambda } = {3c^{2}}/{8pi G_{text {eff}}L^{2}},. )</span> Apparent horizon is chosen as IR holographic cutoff scale as it is a trapped null surface. There are nine fixed points in this dynamical system with four independent dimensionless parameters. We consider flat case and find that viable cosmological evolution follows the sequence: an initial stiff-fluid-dominated phase, transitioning through a nearly dust-dominated era, and eventually reaching a stable dark energy-dominating state. Stability analysis requires that <span>(xi &lt;0)</span> and <span>(0&lt; c &lt; 1)</span> for the theory to be physically valid. Since zero NMC coupling, <span>(xi =0)</span>, is not allowed in the autonomous system, the model can not completely recover canonical scalar field case. That is to say, as <span>(xi rightarrow 0^-)</span> and <span>(c rightarrow 0^+)</span>, the model can only approach the canonical scalar case but can not completely recover it. To approach dust or stiff fluid dominations, both magnitudes of the NMC coupling and the holographic parameter must be small. Numerical integration shows that for any allowed values of <span>(xi )</span> and <i>c</i>, <span>(w_text {eff})</span> approaches <span>(-1)</span> at late times. Increasing of <i>c</i> does not change shape of the <span>(w_textrm{eff})</span>, but larger <i>c</i> increases <span>(w_text {eff})</span>. As <span>(xi )</span> becomes stronger, dust era gradually disappears. Good behaviors of the dynamics require <span>(-1 ll xi &lt;0)</span> and <span>(0 &lt; c ll 1)</span>.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10714-025-03442-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924601","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 origin(s) and meaning(s) of the primeval atom hypothesis: quantum physics meets Lemaître’s cosmology 原始原子假说的起源和意义:量子物理学与lema<e:1>的宇宙学相遇
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-06-30 DOI: 10.1007/s10714-025-03422-0
Dominique Lambert
{"title":"The origin(s) and meaning(s) of the primeval atom hypothesis: quantum physics meets Lemaître’s cosmology","authors":"Dominique Lambert","doi":"10.1007/s10714-025-03422-0","DOIUrl":"10.1007/s10714-025-03422-0","url":null,"abstract":"<div><p>The aim of this paper is to study the historical roots of Lemaître’s famous Primeval Atom Hypothesis (PAH) which are in fact not at all unique. We show that the PAH was linked to his early interests in quantum themes and concepts (Heisenberg uncertainty relations, Eddington-Dirac spinors, etc.) which he studied around 1930, but also to his researches on singularities in General Relativity and above all to this passion for Cosmic Rays, which stimulated his thought in Physics (Celestial Mechanics, for example) but also in Mathematics (numerical analysis, computing science, etc.) The second aim of this paper is to understand the epistemological status of this hypothesis. This status as well as the meaning of the Primeval Atom was evolving during Lemaître’s life. The PAH was never precisely described mathematically in the field of <i>cosmology</i> but acted as a <i>cosmogonical</i> image, generating many fruitful intuitions and stimulating many technical researches.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924604","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
Superconvergent discontinuous Galerkin method for the scalar Teukolsky equation on hyperboloidal domains: Efficient waveform and self-force computation 双曲域上标量Teukolsky方程的超收敛不连续Galerkin方法:有效波形和自力计算
IF 2.8 4区 物理与天体物理
General Relativity and Gravitation Pub Date : 2025-06-27 DOI: 10.1007/s10714-025-03435-9
Manas Vishal, Scott E. Field, Sigal Gottlieb, Jennifer Ryan
{"title":"Superconvergent discontinuous Galerkin method for the scalar Teukolsky equation on hyperboloidal domains: Efficient waveform and self-force computation","authors":"Manas Vishal,&nbsp;Scott E. Field,&nbsp;Sigal Gottlieb,&nbsp;Jennifer Ryan","doi":"10.1007/s10714-025-03435-9","DOIUrl":"10.1007/s10714-025-03435-9","url":null,"abstract":"<div><p>The long-time evolution of extreme mass-ratio inspiral systems requires minimal phase and dispersion errors to accurately compute far-field waveforms, while high accuracy is essential near the smaller black hole (modeled as a Dirac delta distribution) for self-force computations. Spectrally accurate methods, such as nodal discontinuous Galerkin (DG) methods, are well suited for these tasks. Their numerical errors typically decrease as <span>(propto (Delta x)^{N+1})</span>, where <span>(Delta x)</span> is the subdomain size and <span>(N)</span> is the polynomial degree of the approximation. However, certain DG schemes exhibit superconvergence, where truncation, phase, and dispersion errors can decrease as fast as <span>(propto (Delta x)^{2N+1})</span>. Superconvergent numerical solvers are, by construction, extremely efficient and accurate. We theoretically demonstrate that our DG scheme for the scalar Teukolsky equation with a distributional source is superconvergent, and this property is retained when combined with the hyperboloidal layer compactification technique. This ensures that waveforms, total energy and angular-momentum fluxes, and self-force computations benefit from superconvergence. We empirically verify this behavior across a family of hyperboloidal layer compactifications with varying degrees of smoothness. Additionally, we show that dissipative self-force quantities for circular orbits, computed at the point particle’s location, also exhibit a certain degree of superconvergence. Our results underscore the potential benefits of numerical superconvergence for efficient and accurate gravitational waveform simulations based on DG methods.</p></div>","PeriodicalId":578,"journal":{"name":"General Relativity and Gravitation","volume":"57 7","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144924603","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
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信