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We have developed a complete theory for the calculation of the observed Stokes parameters for radiation emitted from the surface of a rapidly rotating neutron star (NS) using the oblate Schwarzschild approximation. We accounted for the…

High Energy Astrophysical Phenomena · Physics 2020-11-11 Vladislav Loktev , Tuomo Salmi , Joonas Nättilä , Juri Poutanen

We present a simple method for including the oblateness of a rapidly rotating neutron star when fitting X-ray light curves. In previous work we showed that the oblateness induced by rotation at frequencies above 300 Hz produces a geometric…

Astrophysics · Physics 2008-11-26 Sharon M. Morsink , Denis A. Leahy , Coire Cadeau , John Braga

Neutron stars (NSs) in low-mass X-ray binaries rotate at frequencies high enough to significantly deviate from sphericity ($\nu_* \sim$ 200--600 Hz). We investigate the effects of rapid rotation on the observational appearance of a NS. We…

High Energy Astrophysical Phenomena · Physics 2020-07-08 Valery F. Suleimanov , Juri Poutanen , Klaus Werner

We demonstrate that fitted values of stellar radius obtained by fitting theoretical light curves to observations of millisecond period X-ray pulsars can significantly depend on the method used to calculate the light curves. The worst-case…

Astrophysics · Physics 2014-10-13 Coire Cadeau , Denis A. Leahy , Sharon M. Morsink

We describe the model of surface emission from a rapidly rotating neutron star that is applied to Neutron Star Interior Composition Explorer X-ray data of millisecond pulsars in order to statistically constrain the neutron star mass-radius…

Raytracing computations for light emitted from the surface of a rapidly rotating neutron star are carried out in order to construct light curves for accreting millisecond pulsars. These calculations are for realistic models of rapidly…

Astrophysics · Physics 2007-05-23 D. Leahy , S. Morsink , C. Cadeau

A photon emitted near a compact object at an angle $\alpha$ with respect to the radial direction escapes to infinity at a different angle $\psi>\alpha$. This bending of light is caused by a strong gravitational field. We show that, in a…

Astrophysics · Physics 2009-11-07 Andrei M. Beloborodov

We present raytracing computations for light emitted from the surface of a rapidly-rotating neutron star in order to construct light curves for X-ray pulsars and bursters. These calculations are for realistic models of rapidly-rotating…

Astrophysics · Physics 2011-02-11 Coire Cadeau , Sharon M. Morsink , Denis Leahy , Sheldon S. Campbell

We describe sophisticated new Bayesian analysis methods that make it possible to estimate quickly the masses and radii of rapidly rotating, oblate neutron stars by fitting oblate-star waveform models to energy-resolved observations of the…

High Energy Astrophysical Phenomena · Physics 2015-08-06 M. Coleman Miller , Frederick K. Lamb

Emission from an accretion disc around compact objects, such as neutron stars and black holes, is expected to be significantly polarized. The polarization can be used to put constraints on geometrical and physical parameters of the compact…

High Energy Astrophysical Phenomena · Physics 2022-04-20 Vladislav Loktev , Alexandra Veledina , Juri Poutanen

The S stars orbiting the Galactic center black hole reach speeds of up to a few percent the speed of light during pericenter passage. This makes, for example, S2 at pericenter much more relativistic than known binary pulsars, and opens up…

Astrophysics of Galaxies · Physics 2014-08-04 Raymond Angelil , Prasenjit Saha , David Merritt

In this research note we introduce a new approximation of photon geodesics in Schwarzschild spacetime which is especially useful to describe highly bent trajectories, for which the angle between the initial emission position and the line of…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Riccardo La Placa , Pavel Bakala , Luigi Stella , Maurizio Falanga

We investigate the time evolution of the redshift of the spectrum of electromagnetic radiation that is emitted by the star that moves in the vicinity of supermassive black hole. For the case of Schwarzschild black hole we solve this problem…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Stanislav Komarov , Alexander Gorbatsievich

We have modelled X-ray burst oscillations observed with the Rossi X-ray Timing Explorer (RXTE) from two low mass X-ray binaries (LMXB): 4U 1636-53 with a frequency of 580 Hz, and 4U 1728-34 at a frequency of 363 Hz. We have computed least…

Astrophysics · Physics 2009-11-06 Nitya Nath , Tod E. Strohmayer , Jean H. Swank

We present a Bayesian method to constrain the masses and radii of neutron stars (NSs) using the information encoded in the X-ray pulse profiles of accreting millisecond pulsars. We model the shape of the pulses using "oblate Schwarzschild"…

High Energy Astrophysical Phenomena · Physics 2018-10-31 T. Salmi , J. Nättilä , J. Poutanen

Motivated by recent achievements of a full general relativistic method in estimating the mass-to-distance ratio of supermassive black holes hosted at the core of active galactic nuclei, we introduce the new concept redshift rapidity in…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Mehrab Momennia , Pritam Banerjee , Alfredo Herrera-Aguilar , Ulises Nucamendi

We present a new numerical algorithm for the calculation of pulse profiles from spinning neutron stars in the Hartle-Thorne approximation. Our approach allows us to formally take into account the effects of Doppler shifts and aberration, of…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Dimitrios Psaltis , Feryal Ozel

The macroscopic model for a neutron star (NS) as a perfect liquid drop at equilibrium is extended to rotating systems with a small frequency $\omega $ within the effective-surface (ES) approach. The gradient surface terms of the NS energy…

High Energy Astrophysical Phenomena · Physics 2025-08-18 A. A. Uleiev , A. G. Magner , S. P. Maydanyuk , A. Bonasera , H. Zheng , S. N. Fedotkin , A. I. Levon , U. V. Grygoriev , T. Depastas

Uncertainties in the satellite world lines lead to dominant positioning errors. In the present work, using the approach presented in \cite{neu14}, a new analysis of these errors is developed inside a great region surrounding Earth. This…

General Relativity and Quantum Cosmology · Physics 2021-07-27 Neus Puchades Colmenero , José Vicente Arnau Córdoba , Màrius Josep Fullana i Alfonso

The macroscopic model for a neutron star (NS) as a perfect liquid drop at the equilibrium is extended to rotating systems by incorporating the linear perturbation expansion over a small frequency $\omega$ near the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-03-09 A. G. Magner , S. P. Maydanyuk , A. Bonasera , H. Zheng , S. N. Fedotkin , A. I. Levon , T. Depastas , U. V. Grygoriev , A. A. Uleiev
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