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We study motion of particles and light in a space-time of a 5-dimensional rotating black hole. We demonstrate that the Myers-Perry metric describing such a black hole in addition to three Killing vectors possesses also a Killing tensor. As…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Valeri Frolov , Dejan Stojkovic

Using second order black hole perturbation theory, we show that the difference between the ADM mass and the final black hole mass, computed to the lowest significant order, is equal, to the same order, to the total gravitational radiation…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Reinaldo Gleiser

In a recent paper, we have a shown that the flattening of galactic rotation curves can be explained by retardation. However, this will rely on a temporal change of galactic mass. In our previous work, we kept only second order terms of the…

综合物理 · 物理学 2021-08-19 Asher Yahalom

We review analytic methods to perform the post-Newtonian expansion of gravitational waves induced by a particle orbiting a massive compact body, based on the black hole perturbation theory. There exist two different methods of the…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Misao Sasaki , Hideyuki Tagoshi

Post-adiabatic models of extreme- and intermediate-mass-ratio inspirals will require calculations of second-order gravitational self-force effects in the spacetime of a spinning, Kerr black hole. We take a step toward such calculations by…

广义相对论与量子宇宙学 · 物理学 2024-11-04 Patrick Bourg , Benjamin Leather , Marc Casals , Adam Pound , Barry Wardell

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

高能物理 - 理论 · 物理学 2010-05-19 Yu Tian , Xiaoning Wu

Stars near the Galactic center reach a few percent of light speed during pericenter passage, which makes post-Newtonian effects potentially detectable. We formulate the orbit equations in Hamiltonian form such that the $O(v^2/c^2)$ and…

星系天体物理 · 物理学 2009-10-02 Miguel Preto , Prasenjit Saha

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

广义相对论与量子宇宙学 · 物理学 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

In the first part of this article I present a system of retarded coordinates based at an arbitrary world line of an arbitrary curved spacetime. The retarded-time coordinate labels forward light cones that are centered on the world line, the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Eric Poisson

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

广义相对论与量子宇宙学 · 物理学 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

Post-Newtonian expansions of the Brill-Lindquist and Misner-Lindquist solutions of the time-symmetric two-black-hole initial value problem are derived. The static Hamiltonians related to the expanded solutions, after identifying the bare…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Piotr Jaranowski , Gerhard Schäfer

We compute the (displacement) gravitational wave memory due to a quasicircular inspiral of two black holes using a variety of perturbative techniques. Within post-Newtonian theory, we extend previous results for non-spinning binaries to…

广义相对论与量子宇宙学 · 物理学 2025-10-07 Kevin Cunningham , Chris Kavanagh , Adam Pound , David Trestini , Niels Warburton , Jakob Neef

We derive the deflection angle of light rays passing near a black hole with mass m and tidal charge q, confined to a generalized Randall-Sundrum brane with codimension one. We employ the weak lensing approach, up to the second order in…

广义相对论与量子宇宙学 · 物理学 2014-11-18 László Á. Gergely , Zoltán Keresztes , Marek Dwornik

We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order…

高能物理 - 理论 · 物理学 2026-03-19 Andrea Placidi , Elisa Grilli , Marta Orselli , Matteo Pegorin , Nicola Bartolo , Pierpaolo Mastrolia

The upcoming discoveries of pulsars orbiting the center of the Milky Way will present unparalleled opportunities to examine the causal structure of the spacetime geometry of Sagittarius A*. In this paper, we investigate the fully…

广义相对论与量子宇宙学 · 物理学 2024-12-05 Viraj Kalsariya , Parth Bambhaniya , Pankaj S. Joshi

The superradiant instabilities of Kerr-Newman black holes with charged or uncharged massive spin-0 fields are calculated analytically to the next-to-leading order in the limit of $\alpha\sim r_g \mu \ll 1$. A missing factor of $1/2$ in the…

广义相对论与量子宇宙学 · 物理学 2023-08-21 Shou-Shan Bao , Qi-Xuan Xu , Hong Zhang

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational…

广义相对论与量子宇宙学 · 物理学 2024-06-06 Samuel E. Gralla , Kunal Lobo

This work deals with the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on massive scalar fields. We obtain an exact solution of the Klein-Gordon equation in this spacetime, which…

广义相对论与量子宇宙学 · 物理学 2014-01-24 V. B. Bezerra , H. S. Vieira , André A. Costa

Charged, rotating Kerr-Newman black holes represent the most general class of asymptotically flat black hole solutions to the Einstein-Maxwell equations of general relativity. Here, we consider a simplified model for the Hawking radiation…

广义相对论与量子宇宙学 · 物理学 2021-01-15 Joshua Foo , Michael R. R. Good

The high pericenter velocities (up to a few percent of light) of the S stars around the Galactic-center black hole suggest that general relativistic effects may be detectable through the time variation of the redshift during pericenter…

广义相对论与量子宇宙学 · 物理学 2014-08-04 Raymond Angélil , Prasenjit Saha