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The time delay of a light signal in the quadrupole field of a body at rest is determined in the second post-Newtonian (2PN) approximation in harmonic coordinates. For grazing light rays at Sun, Jupiter, and Saturn the 2PN quadrupole effect…

广义相对论与量子宇宙学 · 物理学 2022-11-29 Sven Zschocke

In this paper we propose to use Shapiro time delay as a tool to distinguish between different black hole solutions. We calculate the analytic Shapiro time, using first-order expansions, for four solutions. They are Schwarzschild,…

广义相对论与量子宇宙学 · 物理学 2023-05-18 Ednaldo L. B. Junior , Manuel E. Rodrigues , Henrique A. Vieira

We discuss the deflection of light and Shapiro delay under the influence of gravity as described by Schwarzschild metric. We obtain an exact expression based on the coordinate velocity, as first set forth by Einstein, and present a…

广义相对论与量子宇宙学 · 物理学 2012-10-23 Sina Ataollah Khorasani

The problem of a test body in the Schwarzschild geometry is investigated in a Keplerian limit. Beginning with the Schwarzschild metric, a solution to the limited case of approximately elliptical (Keplerian) motion is derived in terms of…

天体物理学 · 物理学 2008-09-05 Tyler J. Lemmon , Antonio R. Mondragon

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…

广义相对论与量子宇宙学 · 物理学 2019-07-30 Riccardo La Placa , Pavel Bakala , Luigi Stella , Maurizio Falanga

Despite its importance to our understanding of physics at supranuclear densities, the equation of state (EoS) of matter deep within neutron stars remains poorly understood. Millisecond pulsars (MSPs) are among the most useful astrophysical…

We propose a quantum experiment to measure with high precision the Schwarzschild space-time parameters of the Earth. The scheme can also be applied to measure distances by taking into account the curvature of the Earth's space-time. As a…

量子物理 · 物理学 2014-12-05 David Edward Bruschi , Animesh Datta , Rupert Ursin , Timothy C. Ralph , Ivette Fuentes

The time delay experienced by a light ray as it passes through a changing gravitational potential by a non-zero mass distribution along the line of sight is usually referred to as Shapiro delay. Shapiro delay has been extensively measured…

星系天体物理 · 物理学 2016-04-28 Shantanu Desai , Emre O. Kahya

A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $\Lambda$ are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The…

高能物理 - 理论 · 物理学 2009-04-17 Ding Wang , R. B. Zhang , Xiao Zhang

We study the causal structure of Schwarzschild-de Sitter (SdS), including shock wave perturbations, in $D>3$ using reflected null ray trajectories, either through the interior black hole or the exterior de Sitter region. Specifically, we…

高能物理 - 理论 · 物理学 2025-09-01 Mir Mehedi Faruk , Facundo Rost , Jan Pieter van der Schaar

We investigate two general relativistic effects - namely, the Shirokov and Shapiro effects - within the framework of the Zipoy-Voorhees spacetime ($q$-metric), which generalizes the Schwarzschild solution by incorporating a quadrupole…

广义相对论与量子宇宙学 · 物理学 2025-06-13 Daniya Utepova , Kuantay Boshkayev , Serzhan Momynov , Anuar Idrissov , Gulzada Baimbetova , Hernando Quevedo , Ainur Urazalina

This paper is mainly devoted to the determination of the travel time of a photon as a function of the positions of the emitter and the receiver in a large class of static, spherically symmetric spacetimes. Such a function - often called…

广义相对论与量子宇宙学 · 物理学 2014-07-17 Pierre Teyssandier

The conformal structure of the Schwarzschild-de Sitter spacetime is analysed using the extended conformal Einstein field equations. To this end, initial data for an asymptotic initial value problem for the Schwarzschild-de Sitter spacetime…

广义相对论与量子宇宙学 · 物理学 2016-12-20 Edgar Gasperin , Juan Antonio Valiente Kroon

Time delay in Schwarzschild spacetime for null and timelike signals with arbitrary velocity $v$ is studied. The total travel time $t_\mathrm{if}$ is evaluated both exactly and approximately in the weak field limit, with the result given as…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Junji Jia , Haotian Liu

In Poincar\'e gauge theory of gravity and in $\overline{\mbox{Poincar\'e}}$ gauge theory of gravity, we give the necessary and sufficient condition in order that the Schwarzschild space-time expressed in terms of the Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Toshiharu Kawai , Eisaku Sakane , Takashi Tojo

This paper presents the first detection of Shapiro delay from the binary millisecond pulsar PSR J1811-2405. We report a 11-${\sigma}$ measurement of the orthometric amplitude, h$_3$=6.8(6)x10$^{-7}$, and a 16-${\sigma}$ measurement of the…

高能天体物理现象 · 物理学 2020-03-11 C. Ng , L. Guillemot , P. C. C. Freire , M. Kramer , D. J. Champion , I. Cognard , G. Theureau , E. D. Barr

Precision timing of millisecond pulsars in binary systems enables observers to detect the relativistic Shapiro delay induced by space time curvature. When favourably aligned, this enables constraints to be placed on the component masses and…

The extreme Schwarzschild-de Sitter space-time is a spherically symmetric solution of Einstein's equations with a cosmological constant Lambda and mass parameter m>0 which is characterized by the condition that 9 Lambda m^2=1. The global…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. Podolsky

We study the behaviour of spinning test particles in the Schwarzschild spacetime. Using Mathisson-Papapetrou equations of motion we confine our attention to spatially circular orbits and search for observable effects which could eventually…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Donato Bini , Fernando de Felice , Andrea Geralico

Spacetime metrics describing `non-singular' black holes are commonly studied in the literature as effective modification to the Schwarzschild solution that mimic quantum gravity effects removing the central singularity. Here we point out…

广义相对论与量子宇宙学 · 物理学 2015-03-25 Tommaso De Lorenzo , Costantino Pacilio , Carlo Rovelli , Simone Speziale
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