In general relativity, systems of spinning classical particles are implemented into the canonical formalism of Arnowitt, Deser, and Misner [1]. The implementation is made with the aid of a symmetric stress-energy tensor and not a 4-dimensional covariant action functional. The formalism is valid to terms linear in the single spin variables and up to and including the next-to-leading order approximation in the gravitational spin-interaction part. The field-source terms for the spinning particles occurring in the Hamiltonian are obtained from their expressions in Minkowski space with canonical variables through 3-dimensional covariant generalizations as well as from a suitable shift of projections of the curved spacetime stress-energy tensor originally given within covariant spin supplementary conditions. The applied coordinate conditions are the generalized isotropic ones introduced by Arnowitt, Deser, and Misner. As applications, the Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling, recently obtained by Damour, Jaranowski, and Schaefer [2], is rederived and the derivation of the next-to-leading order gravitational spin(1)-spin(2) Hamiltonian, shown for the first time in [3], is presented.
In the AdS/CFT correspondence, single trace operators of large-$N$ gauge theories at large spin $J$ can be described by classical spinning strings, giving a geometric and classical description of their spectrum at strong coupling. We observe that in AdS$_3$ these strings have significant gravitational back-reaction at sufficiently large spin, since the gravitational force does not decay at long distances. We construct solutions for folded spinning strings coupled to gravity in AdS$_3$ and compute their spectrum, corresponding to the leading Regge trajectory of Virasroro primary operators. Thes…
We perform general relativistic simulations of self-gravitating black hole-disks in which the spin of the black hole is significantly tilted ($45^\circ$ and $90^\circ$) with respect to the angular momentum of the disk and the disk-to-black hole mass ratio is $16\%-28\%$. The black holes are rapidly spinning with dimensionless spins up to $\sim 0.97$. These are the first self-consistent hydrodynamic simulations of such systems, which can be prime sources for multimessenger astronomy. In particular tilted black hole-disk systems lead to: i) black hole precession; ii) disk precession and warping …
Building upon the Noether charge formalism of Iyer and Wald, we derive a variational formula for spacetimes admitting a Killing vector field, for a generic energy-momentum distribution with compact support. Applying this general result to the particular case of a binary system of spinning compact objects moving along an exactly circular orbit, modelled using the multipolar gravitational skeleton formalism, we derive a first law of compact binary mechanics at dipolar order. We prove the equivalence of this new result with the canonical Hamiltonian first law previously derived for binary systems…
In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature. The latter extension entails a new Wilson coefficient that appears in this sector. This work pushes the precision front…
We obtain for the first time all quadratic-in-spin interactions in spinning binaries at the third subleading order in post-Newtonian (PN) gravity, and provide their observable binding energies and their gauge-invariant relations to the angular momentum. Our results are valid for generic compact objects, orbits, and spin orientations, and enter at the fifth PN order for maximally-rotating objects, thus pushing the state of the art. This is accomplished through an extension of the effective field theory of spinning gravitating objects, and of its computational application. We also discover a new…
We present fully general-relativistic numerical evolutions of self-gravitating tori around spinning black holes with dimensionless spin $a/M = 0.7$ parallel or anti-parallel to the disk angular momentum. The initial disks are unstable to the hydrodynamic Papaloizou-Pringle Instability which causes them to grow persistent orbiting matter clumps. The effect of black hole spin on the growth and saturation of the instability is assessed. We find that the instability behaves similarly to prior simulations with non-spinning black holes, with a shift in frequency due to spin-induced changes in disk o…
We compute the N$^3$LO gravitational quadratic-in-spin interactions at $G^4$ in the post-Newtonian (PN) expansion via the effective field theory (EFT) of gravitating spinning objects for the first time. This result contributes at the $5$PN order for maximally-spinning compact objects, adding the spinning case to the static sector at this PN accuracy. This sector requires extending the EFT of a spinning particle beyond linear order in the curvature to include higher-order operators quadratic in the curvature that are relevant at this PN order. We make use of a diagrammatic expansion in the worl…
In this paper we derive for the first time the N$^3$LO gravitational spin-orbit coupling at order $G^4$ in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order $G^4$. Our computation makes use of the publicly-available \texttt{EFTofPNG} code, which is extended using loop-integration techniques from particle amplitudes. We provide the result…
Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
本文在广义相对论的后牛顿第四近似（4PN）下，在调和坐标系中导出了无自旋紧致双星系统运动的Fokker作用量。维度正则化用于治疗与点粒子相关的局部紫外线（UV）发散，然后通过重整化的极点到一个重新定义的点质量的轨迹。与在无穷远传播的波尾相关的4PN阶的效应始终包括在动作的水平上。基于解析延拓的有限部分程序处理在空间无穷远的红外（IR）发散，这是完全一致的近区尾部的存在。我们的结果在4PN阶是洛伦兹不变的，并有正确的自力极限的圆形轨道的能量。然而，我们发现，它不同于最近发表的结果中的ADM哈密顿公式的广义相对论[T。Damour，P. Jaranowski，and G. Schäfer，Phys.Rev.D89，064058（2014）]。需要做更多的工作来理解这种差异。
Probing scalarized wormholes through quasi-periodic oscillations and spinning particle dynamics
Institute of Fundamental and Applied Research, National Research University TIIAME（塔什干信息技术与应用科学国立大学基础与应用研究所）；University of Tashkent for Applied Sciences（塔什干应用科学大学）；School of Physics, Harbin Institute of Technology（哈尔滨工业大学物理学院）；New Uzbekistan University（新乌兹别克斯坦大学）；Kimyo International University in Tashkent（塔什干化学国际大学）；Research Center of Astrophysics and Cosmology, Khazar University（哈扎尔大学天体物理学与宇宙学研究中心）；National University of Uzbekistan（乌兹别克斯坦国立大学）；School of Science, Walailak University（瓦拉耶拉克理科大学）；College of Graduate Studies, Walailak University（瓦拉耶拉克研究生院）
Symplectic mechanics of relativistic spinning compact bodies. I. linear-in-spin integrability under Killing-Yano symmetry
Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534（法国卡昂诺曼底大学、ENSICAEN、CNRS/IN2P3、LPC Caen UMR6534）；Department of Physics, National University of Singapore（新加坡国立大学物理系）
Self-dual instantons and gravitating dyons in non-Abelian ModMax theory
Centro de Estudios Científicos (CECs)（科学研究中心）；Facultad de Ingeniería, Arquitectura y Diseño, Universidad San Sebastian（圣塞巴斯蒂安大学工程、建筑与设计学院）；Departamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez（阿道夫·伊巴涅斯大学自由艺术学院科学系）；Instituto de Matemáticas (INSTMAT), Universidad de Talca（塔尔卡大学数学研究所）；Departamento de Física, Universidad de Concepción（孔塞普西翁大学物理系）
Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown
Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534（卡昂诺曼底大学）；Department of Physics, National University of Singapore（新加坡国立大学物理系）；Université Libre de Bruxelles, International Solvay Institutes（布鲁塞尔自由大学）
