Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is applicable to the spin dynamics of all kinds of binaries with self-gravitating components like black holes and/or neutron stars taking into account spin-induced quadrupolar deformation effects in second post-Newtonian order perturbation theory of Einstein's field equations. The corresponding equations of motion for spin, position and momentum variables are given in terms of canonical Poisson brackets. Comparison with a nonreduced potential calculated within the Effective Field Theory approach is made.
Motion and gravitational wave forms of eccentric compact binaries with orbital-angular-momentum-aligned spins under next-to-leading order in spin-orbit and leading order in spin(1)-spin(2) and spin-squared couplings
In this work we complete the spin-dependent conservative dynamics of inspiralling compact binaries at the fourth post-Newtonian order, and in particular the derivation of the next-to-next-to-leading order spin-squared interaction potential. We derive the physical equations of motion of the position and the spin from a direct variation of the action. Further, we derive the quadratic-in-spin Hamiltonians, as well as their expressions in the center-of-mass frame. We construct the conserved integrals of motion, which form the Poincaré algebra. This construction provided a consistency check for the…
In this paper, we introduce the post-Minkowskian approximation of Energy-Momentum-Squared Gravity (EMSG). This approximation is used to study the gravitational energy flux in the context of EMSG. As an application of our results, we investigate the EMSG effect on the first time derivative of the orbital period of the binary pulsars. Utilizing this post-Keplerian parameter, the free parameter of the EMSG theory, $f_0'$, is estimated for six known binary pulsars. Taking the binaries that have the most accurate observations, it turns out that $-6\times 10^{-37}\text{m}\,\text{s}^2\text{kg}^{-1}<f…
We compute spin-orbit effects in the equations of motion, binding energy and energy loss of binary systems of compact objects at the next-to-leading order in the post-Newtonian (PN) approximation in the effective field theory (EFT) framework. We then use these quantities to compute the evolution of the orbital frequency and accumulated orbital phase including spin-orbit effects beyond the dominant order. To obtain the results presented in this paper, we make use of known ingredients in the EFT literature, such as the potential and the multipole moments with spin effects at next-to-leading orde…
We consider stellar-origin black hole binaries, which are among the main astrophysical sources for next generation gravitational wave (GW) detectors such as the Einstein Telescope (ET) and Cosmic Explorer (CE). Using population models calibrated with the most recent LIGO/Virgo results from O3b run, we show that ET and CE will be capable of detecting tens of thousands of such sources (and virtually all of those present in our past light cone up to $z\lesssim 0.7$ for ET and $z\lesssim 1$ for CE) with a signal-to-noise ratio up to several hundreds, irrespective of the detector design. When it co…
We explore the performance of an updated effective-one-body (EOB) model for spin-aligned coalescing black hole binaries designed to deal with any orbital configuration. The model stems from previous work involving the \TEOBResumS{} waveform model, but incorporates recently computed analytical information up to fifth post-Newtonian (PN) order in the EOB potentials. The dynamics is then informed by Numerical Relativity (NR) quasi-circular simulations (incorporating also recently computed 4PN spin-spin and, optionally, 4.5PN spin-orbit terms). The so-constructed model(s) are then compared to vari…
Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
我们考虑强引力场中紧双星的自旋-轨道（“测地”）进动。具体来说，我们计算$ψ$，在一个径向周期的累积自旋进动和轨道角的比率，为一个旋转致密体的质量$m_1$和自旋$s_1$，与$s_1 \ll G m_1^2/c$，轨道非旋转黑洞。我们表明，$ψ$可以计算偏心轨道的引力自作用力和后牛顿框架，结果似乎是一致的。给出了$ψ$在次-次-主导阶的后牛顿展开式和$ψ$在质量比为一阶的Lorenz规范引力自作用力计算.后者提供了新的数值数据，在强场制度通知有效的单体模型的引力两体问题。我们的结论是，$ψ$补充Detweiler红移$z$作为一个关键的不变量特征偏心轨道的引力两体问题。
Binaries comprised of a neutron star (NS) and a black hole (BH) have so far eluded observations as pulsars and with gravitational waves (GWs). We model the formation and evolution of these NS+BH binaries - including pulsar evolution - using the binary population synthesis code COMPAS. We predict the presence of a total of 50-2000 binaries containing a pulsar and a BH (PSR+BHs) in the Galactic field. We find the population observable by the next generation of radio telescopes, represented by the SKA and MeerKAT, current (LIGO/Virgo) and future (LISA) GW detectors. We conclude that the SKA will …
Inspiral waveforms of charged compact binaries and observational constraints
University of Chinese Academy of Sciences（中国科学院大学）；Taiji Laboratory for GW Universe, University of Chinese Academy of Sciences（中国科学院大学太极引力波宇宙实验室）；Hunan Normal University（湖南师范大学）；Yangtze University（长江大学）
We combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity. The logarithms come from the conservative part of non linear gravitational-wave tails and their iterations. Explicit, original expressions are found for conservative dynamics logarithmic tail terms up to 6PN order by adopting both traditional PN calculations and effective field theory (EFT) methods. We also determine all logarithmic terms at 7PN order, fixing a sub-leading logarithm from a tail-of-ta…
Post-Newtonian dynamics of charged compact binaries
International Centre for Theoretical Physics Asia-Pacific, University of Chinese Academy of Sciences（国际理论物理中心亚太区，中国科学院大学）；Taiji Laboratory for GW Universe, University of Chinese Academy of Sciences（引力波宇宙太极实验室，中国科学院大学）；School of Physics and Optoelectronic Engineering, Yangtze University（长江大学物理与光电工程学院）；School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences（中国科学院大学杭州高等研究院基础科学与数学学院）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；School of Physical Science and Technology, Lanzhou University（兰州大学物理科学与技术学院）；Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）
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…
We derive the predictions of quantum gravity with fakeons on the amplitudes and spectral indices of the scalar and tensor fluctuations in inflationary cosmology. The action is $R+R^{2}$ plus the Weyl-squared term. The ghost is eliminated by turning it into a fakeon, that is to say a purely virtual particle. We work to the next-to-leading order of the expansion around the de Sitter background. The consistency of the approach puts a lower bound ($ m_{χ}>m_{ϕ}/4$) on the mass $m_{χ}$ of the fakeon with respect to the mass $m_{ϕ}$ of the inflaton. The tensor-to-scalar ratio $r$ is predicted within…
Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries
Kyoto University（京都大学）；Astronomical Institute of the Czech Academy of Sciences（捷克科学院天文研究所）；University of Southampton（南安普顿大学）；National University of Singapore（新加坡国立大学）
Post-Newtonian secular dynamics of hierarchical triples II. Canonical derivation of the 1PN $\times$ quadrupole cross terms and of the quadrupole-squared term
Adiabatic evolution of asymmetric binaries on generic orbits with new fundamental fields I: characterization of gravitational wave fluxes
Gran Sasso Science Institute (GSSI)（格兰萨索科学研究所）；INFN, Laboratori Nazionali del Gran Sasso（意大利国家核物理研究所，格兰萨索国家实验室）；Dipartimento di Fisica, Sapienza Università di Roma（罗马智慧大学物理系）；Dipartimento di Fisica, Università di Pisa（比萨大学物理系）；INFN, Sezione di Roma（意大利国家核物理研究所罗马分部）；School of Mathematics and Statistics, University College Dublin（都柏林大学学院数学与统计学院）；INFN, Sezione di Pisa（意大利国家核物理研究所比萨分部）；School of Mathematical Sciences & School of Physics and Astronomy, University of Nottingham（诺丁汉大学数学科学学院与物理与天文学院）；Nottingham Centre of Gravity, University of Nottingham（诺丁汉大学引力研究中心）
