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Impact of conformal η-Ricci-Yamabe solitons on relativistic string cloud spacetimes with magnetized quark matter 带磁化夸克物质的共形η-Ricci-Yamabe孤子对相对论弦云时空的影响
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2026-02-01 Epub Date: 2026-03-27 DOI: 10.1016/S0034-4877(26)00010-8
Sunil Kumar Yadav, Uday Chand De, Krishnendu De
{"title":"Impact of conformal η-Ricci-Yamabe solitons on relativistic string cloud spacetimes with magnetized quark matter","authors":"Sunil Kumar Yadav,&nbsp;Uday Chand De,&nbsp;Krishnendu De","doi":"10.1016/S0034-4877(26)00010-8","DOIUrl":"10.1016/S0034-4877(26)00010-8","url":null,"abstract":"<div><div>In this article some geometric properties of a relativistic string cloud spacetime coupled with magnetized quark matter are illustrated. Then, we discuss conformal η-Ricci-Yamabe soliton of type (κ, <em>l</em>) on a string cloud spacetime coupled with magnetized quark matter with a <span><math><mrow><mi>Z</mi></mrow></math></span>-Ric vector field. Furthermore, we analyze some physical significance of conformal pressure in terms of such soliton concerning a <strong><em>Z</em></strong>-Ric vector field on a string cloud spacetime. Besides, we deduce a modified Poisson and Liouville equation from the conformal η-Ricci-Yamabe soliton of type (κ, <em>l</em>) on a relativistic string cloud spacetime. In addition, we light up the harmonic aspect of a conformal η-Ricci-Yamabe soliton of type (κ, <em>l</em>) on a relativistic string cloud spacetime with magnetized quark matter and we establish a necessary and sufficient condition for a 1 -form η, which is the <em>g</em>-dual of the vector field ξ to be a solution of the Schrödinger-Ricci equation. Finally, we produce an example of η-Ricci-Yamabe soliton.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"97 1","pages":"Pages 51-70"},"PeriodicalIF":1.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147556955","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
Causality in the maximally extended extreme Reissner-NordstrÖm spacetime with identifications 最大扩展极限Reissner-NordstrÖm时空中的因果关系
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2026-02-01 Epub Date: 2026-03-27 DOI: 10.1016/S0034-4877(26)00008-X
Andrzej Krasiński
{"title":"Causality in the maximally extended extreme Reissner-NordstrÖm spacetime with identifications","authors":"Andrzej Krasiński","doi":"10.1016/S0034-4877(26)00008-X","DOIUrl":"10.1016/S0034-4877(26)00008-X","url":null,"abstract":"<div><div>In continuation of the similarly titled paper on the <em>e</em><sup>2</sup> &lt; <em>m</em><sup>2</sup> Reissner-Nordström (RN) metric, in this paper it was verified whether it is possible to send (by means of timelike and null geodesics) messages to one's own past in the maximally extended extreme (<em>e</em><sup>2</sup> = <em>m</em><sup>2</sup>) RN spacetime with the asymptotically flat regions being identified. Numerical examples show that timelike and nonradial null geodesics originating outside the horizon have their turning points to the future of the past light cone of the future copy of the emitter. This means that they cannot reach the causal past of the emitter's future copy. Ingoing radial null geodesics hit the singularity at <em>r</em> = 0 and stop there. So, unlike in the <em>e</em><sup>2</sup> &lt; <em>m</em><sup>2</sup> case, identification of the asymptotically flat regions does not lead to causality breaches. A formal mathematical proof of this thesis (as opposed to the numerical examples given in this paper) is still lacking and desired.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"97 1","pages":"Pages 15-33"},"PeriodicalIF":1.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147557101","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
Stabilization of the wave equation with dynamical boundary conditions and an internal delay term 具有动态边界条件和内延迟项的波动方程的镇定
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2026-02-01 Epub Date: 2026-03-27 DOI: 10.1016/S0034-4877(26)00011-X
Lamia Seghour, Aissa Boukarou, Khaled Zennir
{"title":"Stabilization of the wave equation with dynamical boundary conditions and an internal delay term","authors":"Lamia Seghour,&nbsp;Aissa Boukarou,&nbsp;Khaled Zennir","doi":"10.1016/S0034-4877(26)00011-X","DOIUrl":"10.1016/S0034-4877(26)00011-X","url":null,"abstract":"<div><div>This article is mainly devoted to tackling the stability result of the Cauchy-Wentzell problem with internal delay. Our focus is to show the exponential decay of the energy of the system. Throughout our investigation, we will use the multiplier method by making suitable choices of Lyapunov functions.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"97 1","pages":"Pages 71-83"},"PeriodicalIF":1.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147556886","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
Heat equation with singular thermal conductivity 具有奇异导热系数的热方程
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2026-02-01 Epub Date: 2026-03-27 DOI: 10.1016/S0034-4877(26)00007-8
Michael Ruzhansky, Mohammed Elamine Sebih, Niyaz Tokmagambetov
{"title":"Heat equation with singular thermal conductivity","authors":"Michael Ruzhansky,&nbsp;Mohammed Elamine Sebih,&nbsp;Niyaz Tokmagambetov","doi":"10.1016/S0034-4877(26)00007-8","DOIUrl":"10.1016/S0034-4877(26)00007-8","url":null,"abstract":"<div><div>In this paper, we study the heat equation with an irregular spatially dependent thermal conductivity coefficient. We prove that it has a solution in an appropriate very weak sense. Moreover, the uniqueness result and consistency with the classical solution if the latter exists are shown. Indeed, we allow the coefficient to be a distribution with a toy example of a δ-function.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"97 1","pages":"Pages 1-13"},"PeriodicalIF":1.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147556954","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
Connection between coherent states and some integrals and integral representations 相干态与某些积分及积分表示的关系
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2026-02-01 Epub Date: 2026-03-27 DOI: 10.1016/S0034-4877(26)00012-1
Dušan Popov
{"title":"Connection between coherent states and some integrals and integral representations","authors":"Dušan Popov","doi":"10.1016/S0034-4877(26)00012-1","DOIUrl":"10.1016/S0034-4877(26)00012-1","url":null,"abstract":"<div><div>The paper presents an interesting mathematical feedback between the formalism of coherent states and the field of integrals and integral representations involving special functions. This materializes through an easy and fast method to calculate integrals or integral representations of different functions, expressible by means of Meijer's <em>G</em>-, as well as hypergeometric generalized functions. The feedback starts from a fundamental integral that comes from the decomposition of the unity operator in the language of coherent states from quantum mechanics. In this way, integrals and integral representations are obtained, some of them do not appear in the literature, and others are already known, which can be verified by orthodox methods. All calculations are made using the properties of the diagonal operators ordering technique (DOOT), a relatively new technique of normal ordering of the creation and annihilation operators in quantum mechanics. The paper contributes to increasing the number of solvable integrals involving special functions.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"97 1","pages":"Pages 85-114"},"PeriodicalIF":1.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147556884","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
Local ultrametric approximation of graph distance based Laplacian diffusion 基于拉普拉斯扩散的图距离局部超度量逼近
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2026-02-01 Epub Date: 2026-03-27 DOI: 10.1016/S0034-4877(26)00013-3
Patrick Erik Bradley
{"title":"Local ultrametric approximation of graph distance based Laplacian diffusion","authors":"Patrick Erik Bradley","doi":"10.1016/S0034-4877(26)00013-3","DOIUrl":"10.1016/S0034-4877(26)00013-3","url":null,"abstract":"<div><div>The error estimation for eigenvalues and eigenvectors of a small positive symmetric perturbation on the spectrum of a graph Laplacian is related to Gauss hypergeometric functions. Based on this, a heuristic polynomial-time algorithm for finding an optimal locally ultrametric approximation of a graph-distance power Laplacian matrix via the Vietoris-Rips graph based on the graph distance function is proposed. In the end, the error in the solution to the graph Laplacian heat equation given by extension to a locally <em>p</em>-adic equation is estimated.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"97 1","pages":"Pages 115-142"},"PeriodicalIF":1.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147556885","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
Functorial Einstein algebras and the malicious singularity 泛函爱因斯坦代数与恶意奇点
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2026-02-01 Epub Date: 2026-03-27 DOI: 10.1016/S0034-4877(26)00009-1
Michael Heller, Tomasz Miller, Leszek Pysiak, Wieslaw Sasin
{"title":"Functorial Einstein algebras and the malicious singularity","authors":"Michael Heller,&nbsp;Tomasz Miller,&nbsp;Leszek Pysiak,&nbsp;Wieslaw Sasin","doi":"10.1016/S0034-4877(26)00009-1","DOIUrl":"10.1016/S0034-4877(26)00009-1","url":null,"abstract":"<div><div>Einstein algebra, the concept due to Geroch, is essentially general relativity in an algebraic disguise. We introduce the concept of Einstein-Grassmann algebra as a superalgebra (defining a supermanifold) which is also an Einstein algebra. We employ this concept to confront the supermanifold structure with the structure of strong singularity, the so-called malicious singularity, in general relativity. Einstein-Grassmann algebras consist of two parts: a part called body and a part called soul. For the body part, the singularity theorems apply and the singularities persist as the conclusions of the classical theorems on the existence of singularities require. We prove that, if we relax algebraical requirements, the soul part of the algebra can survive the malicious singularity. In particular, we study the behaviour of supercurves in the presence of malicious singularity.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"97 1","pages":"Pages 35-49"},"PeriodicalIF":1.2,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147556953","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
An Interesting Form of the Einstein-Palatini Action with Cosmological Constant Λ 爱因斯坦-帕拉蒂尼作用与宇宙常数的有趣形式Λ
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00079-5
Janusz Garecki
{"title":"An Interesting Form of the Einstein-Palatini Action with Cosmological Constant Λ","authors":"Janusz Garecki","doi":"10.1016/S0034-4877(25)00079-5","DOIUrl":"10.1016/S0034-4877(25)00079-5","url":null,"abstract":"<div><div>We show in a new way that the general relativity (GR) action (and Lagrangian) in recent Einstein-Palatini (EP) formulation is equivalent in four dimensions to the action (and Lagrangian) of a gauge field.</div><div>Firstly, we present EP action with cosmological constant Λ ≢ 0 and derive Einstein field equations from it. Then, we consider this action in terms of the corrected curvature Ω<sub>cor</sub>. We will see that in terms of Ω<sub>cor</sub> the EP action takes the typical form for action of a gauge field. Finally, we give a geometrical interpretation of the corrected curvature Ω<sub>cor</sub>.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 357-368"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871665","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
Riemann Solitons on Magneto-Fluid Spacetime in f(r)-Gravity f(r)-重力中磁流体时空上的黎曼孤子
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00077-1
Mehdi Jafari , Amirhesam Zaeim, Yadollah AryaNejad, Adele Alemahdi
{"title":"Riemann Solitons on Magneto-Fluid Spacetime in f(r)-Gravity","authors":"Mehdi Jafari ,&nbsp;Amirhesam Zaeim,&nbsp;Yadollah AryaNejad,&nbsp;Adele Alemahdi","doi":"10.1016/S0034-4877(25)00077-1","DOIUrl":"10.1016/S0034-4877(25)00077-1","url":null,"abstract":"<div><div>This research paper investigates the concepts of almost Riemann solitons and almost gradient Riemann solitons within the context of magneto-fluid spacetime in <em>f</em>(<em>r</em>)-gravity. Initially, the divergence of the almost Riemann soliton vector field is expressed in terms of scalar curvature specific to this magneto-fluid spacetime framework. Subsequently, by employing the Riemann soliton as our metric, we delineate the conditions necessary for the scalar curvature of the spacetime under consideration. Furthermore, by examining the gradient Riemann soliton, we elucidate certain properties related to particle density.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 327-342"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871637","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
Existence and Uniqueness of BPS Vacuum and Multi-Vortices in Inhomogeneous Abelian Higgs Model 非齐次阿贝尔希格斯模型中BPS真空和多涡的存在唯一性
IF 1.2 4区 物理与天体物理
Reports on Mathematical Physics Pub Date : 2025-12-01 Epub Date: 2025-12-31 DOI: 10.1016/S0034-4877(25)00075-8
SeungJun Jeon, Chanju Kim, Yoonbai Kim
{"title":"Existence and Uniqueness of BPS Vacuum and Multi-Vortices in Inhomogeneous Abelian Higgs Model","authors":"SeungJun Jeon,&nbsp;Chanju Kim,&nbsp;Yoonbai Kim","doi":"10.1016/S0034-4877(25)00075-8","DOIUrl":"10.1016/S0034-4877(25)00075-8","url":null,"abstract":"<div><div>The BPS limit of the inhomogeneous abelian Higgs model is considered in (1 + 2)-dimensions. The second order Bogomolny equation is examined in the presence of an inhomogeneity expressed as a function of spatial coordinates. Assuming a physically reasonable upper bound on the \u0000\t\t\t\t<span><math><msup><mi>L</mi><mrow><mn>2</mn></mrow></msup><mrow><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></math></span> norm of the inhomogeneity function, we prove the existence and uniqueness of nontrivial BPS vacuum solution of zero energy and topological BPS multi-vortex solutions of quantized positive energies.</div></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"96 3","pages":"Pages 299-312"},"PeriodicalIF":1.2,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145871635","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
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