- Neutron-star oscillation
Asteroseismology studies the internal structure of our Sun and other stars using oscillations. These can be studied by interpreting the temporal frequency spectrum acquired through observations. In the same way, the more extreme neutron stars might be studied and hopefully give us a better understanding of neutron-star interiors, and help in determining the equation of state for matter at nuclear densities. Scientists also hope to prove, or discard, the existence of so called quark stars, or strange stars, through these studies.
Types of oscillations
The modes of oscillations are divided into subgroups, each with different characteristic behavior. Firstly they are divided into toroidal and spherical modes, with the latter further divided into radial and non-radial modes. Spherical modes are oscillations in the radial direction while toroidal modes oscillate horizontally, perpendicular to the radial direction. The radial modes can be considered as a special case of non-radial ones, preserving the shape of the star in the oscillations, while the non-radial don’t. Generally, only the spherical modes are considered in studies of stars, as they are the easiest to observe, but the toroidal modes might also be studied.
In our Sun, only three types of modes have been found so far, namely p-, g- and f- modes. Helioseismology studies these modes with periods in the range of minutes, while for neutron stars the periods are much shorter, often seconds or even milliseconds.
- p-modes or pressure modes, are determined by the local sound speed in the star, hence they are also often referred to as acoustic modes. Greatly dependent on the density and temperature of the neutron star, they are powered by internal pressure fluctuations in the stellar medium. Typical predicted periods lie around 0.1 ms.
- g-modes or gravity modes, have buoyancy as restoring force, but shouldn’t be confused with gravitational waves. The g-modes are confined to the inner regions of a neutron star with a solid crust, and have predicted oscillation periods between 10 and 400 ms. However, there are also expected long-period g-modes oscillating on periods longer than 10 s.
- f-modes or fundamental modes, are g-modes confined to the surface of the neutron star, similar to ripples in a pond. Predicted periods are between 0.1 and 0.8 ms.
The extreme properties of neutron stars permit several others types of modes.
- s-modes or shear modes, appear in two cases; one in the superfluid interior and one in the solid crust. In the crust they mainly depend on the crust’s shear modulus. Predicted periods range between a few milliseconds to tens of seconds.
- i-modes or interfacial modes, appear at the boundaries of the different layers of the neutron star, causing traveling waves with periods dependent on the local density and temperature at the interface. Typical predicted periods lie around a few hundred milliseconds.
- t-modes or torsional modes, are caused by material motions tangentially to the surface in the crust. Predicted periods are shorter than 20 ms.
- r-modes or rotational modes (a second type of toroidal mode) only appear in rotating stars and are caused by the Coriolis force acting as restoring force along the surface. Their periods are on the same order as the star’s rotation.
- w-modes or gravitational-wave modes are a relativistic effect, dissipating energy through gravitational waves. Their existence was first suggested through a simple model problem by Kokkotas and Schutz and verified numerically by Kojima, whose results were corrected and extended by Kokkotas and Schutz. Characteristic properties of these modes are the absence of any significant fluid motion and their rapid damping times of tenths of seconds. There are three types of w-mode oscillations: curvature, trapped and interface modes, with predicted periods in the range of microseconds.
- Trapped modes would exist in extremely compact stars. Their existence was suggested by Chandrasekhar and Ferrari, but so far no realistic Equation of State has been found allowing the formation of stars compact enough to support these modes.
- Curvature modes exist in all relativistic stars and are related to the spacetime curvature. Models and numerical studies suggest an unlimited number of these modes.
- Interface modes or wII-modes are somewhat similar to acoustic waves scattered off a hard sphere; there seems to be a finite number of these modes. They are rapidly damped in less than a tenth of a millisecond, and so would be hard to observe.
More details on stellar pulsation modes and a comparison with the pulsation modes of black holes can be found in the Living Review by Kokkotas and Schmidt.
Generally, oscillations are caused when a system is perturbed from its dynamical equilibrium, and the system, using a restoration force, tries to return to that equilibrium state. The oscillations in neutron stars are probably weak with small amplitudes, but exciting these oscillations might increase the amplitudes to observable levels. One of the general excitation mechanisms are eagerly awaited outbursts, comparable to how one creates a tone when hitting a bell. The hit adds energy to the system, which excites the amplitudes of the oscillations to greater magnitude, and so is more easily observed. Apart from such outbursts, flares as they are often called, other mechanisms have been proposed to contribute to these excitations:
- The core collapse during a supernova which produces a neutron star is one good candidate as it releases enormous amounts of energy.
- For a binary system with at least one neutron star, the accretion process as matter flows into the star might be a source of moderately high energy.
- Gravitational radiation is released as the components in a binary systems spiral closer to each other, releasing energy which might be energetic enough for visible excitations.
- So called sudden phase transition (similar to water freezing) during transitions to, e.g., a strange star or a pion condensate. This releases energy which partly could be channeled to excitations.
The oscillations are damped through different processes in the neutron star which are not yet fully understood. The damping time is the time for the amplitude of a mode to decay to e−1. A wide variety of different mechanisms have been found, but the strength of their impact differs among the modes.
- As the relative concentrations of protons, neutrons and electrons are altered, a small portion of energy will be carried away through neutrino emission. The damping times are very long as the light neutrinos cannot relieve much energy from the system.
- An oscillating magnetic field emits electromagnetic radiation with a power mainly dependent on that of the magnetic field. The mechanism isn’t very strong with damping times reaching days and even years.
- Gravitational radiation has been discussed a lot, with damping times believed to be on order of tenths of milliseconds.
- As the core and crust of a neutron star move against each other, there is internal friction which releases some smaller portion of energy. This mechanism hasn’t been investigated thoroughly, but damping times are believed to be in the range of years.
- When the kinetic energy of the oscillations is converted into thermal energy in non-adiabatic effects, there is a possibility that significant energy might be released, although this mechanism is hard to investigate.
So far, most data about neutron-star oscillations come from the blasts of four specific Soft Gamma Repeaters, SGR, especially the event of 27 December 2004 from SGR 1806-20. Because so few events have been observed, little is known for sure about neutron stars and the physics of their oscillations. The outbursts which are vital for analyses only happen sporadically and are relatively brief. Given the limited knowledge, many of the equations surrounding the physics around these objects are parameterized to fit observed data, and where data is not to be found solar values are used instead. However, with more projects capable of observing these kinds of blasts with higher accuracy, and the hopeful development of w-mode studies, the future looks promising for better understanding one of the Universe’s most exotic objects.
- ^ M. Cunha et al. (2007). "Asteroseismology and interferometry". Astronomy and Astrophysics Review. 14 (3-4) (3-4): 217–360. Bibcode 2007A&ARv..14..217C. doi:10.1007/s00159-007-0007-0.
- ^ [astro-ph/0601337] 1122 Hz rotation of XTE J1739-285 as a probe of quark matter in the interior of the neutron star
- ^ P. N. McDermott et al. (1987). "Nonradial oscillations of neutron stars". The Astrophysical Journal 325: 726–748. Bibcode 1988ApJ...325..725M. doi:10.1086/166044.
- ^ K. D. Kokkotas, B. F. Schutz (1986). "Normal modes of a model radiating system". General Relativity and Gravitation 18: 913–921. Bibcode 1986GReGr..18..913K. doi:10.1007/BF00773556.
- ^ Y. Kojima (1988). "Two Families of Normal Modes in Relativistic Stars". Progress of Theoretical Physics 79 (3): 665–675. Bibcode 1988PThPh..79..665K. doi:10.1143/PTP.79.665.
- ^ K. D. Kokkotas, B. F. Schutz (1992). "W-modes - A new family of normal modes of pulsating relativistic stars". Monthly Notices of the Royal Astronomical Society 255: 119–128. Bibcode 1992MNRAS.255..119K.
- ^ S. Chandrasekhar, V. Ferrari (199`). "On the non-radial oscillations of a star. III - A reconsideration of the axial modes". Proceedings of the Royal Society of London A 434 (1891): 449–457. Bibcode 1991RSPSA.434..449C. doi:10.1098/rspa.1991.0104.
- ^ N. Andersson, Y. Kojima, K. D. Kokkotas (1996). "On the Oscillation Spectra of Ultracompact Stars: an Extensive Survey of Gravitational-Wave Modes". The Astrophysical Journal 462: 855. Bibcode 1996ApJ...462..855A. doi:10.1086/177199.
- ^ M. Leins, H.-P. Nollert, M. H. Soffel (1993). "Nonradial oscillations of neutron stars: A new branch of strongly damped normal modes". Physical Review D 48 (8): 3467–3472. Bibcode 1993PhRvD..48.3467L. doi:10.1103/PhysRevD.48.3467.
- ^ a b R. Nilsson (2005), MSc Thesis (Lund Observatory), High-speed astrophysics: Chasing neutron-star oscillations.
- ^ K. Kokkotas, B. Schmidt (1999). "Quasi-Normal Modes of Stars and Black Holes". Living Reviews in Relativity. Bibcode 1999LRR.....2....2K.
- ^ R. Duncan (1998). "Global seismic oscillations in Soft Gamma Repeaters". Astrophysical Journal Letters 498 (1): L45. Bibcode 1998ApJ...498L..45D. doi:10.1086/311303.
- G. L. Israel et al. (2005), Discovery of rapid x-ray oscillations in the tail of the SGR 1806-20 hyperflare. The Astrophysical Journal 628: L53-L56
- T. E. Strohmayer, A.L. Watts (2005), Discovery of fast x-ray oscillations during the 1998 giant flare from SGR 1900+14. The Astrophysical Journal 632: L111-L114
- A. L. Piro, L. Bildsten (2005), Surface modes on bursting neutron stars and X-ray burst oscillations. The Astrophysical Journal 629: 438-450
- A. L. Piro, L. Bildsten (2004), Neutron star crustal interface waves. The Astrophysical Journal 619: 1054-1063
Wikimedia Foundation. 2010.
Look at other dictionaries:
Neutron star — redirects here. For the story by Larry Niven, see Neutron Star (short story). Neutron stars crush half a million times more mass than Earth into a sphere no larger than Manhattan. A neutron star is a type of stellar remnant that can result from… … Wikipedia
Neutron-star oscillations — Asteroseismology studies the internal structure of our Sun and other stars using oscillations. These can be studied by interpreting the temporal frequency spectrum acquired through observations [cite journal|… … Wikipedia
star — starless, adj. /stahr/, n., adj., v., starred, starring. n. 1. any of the heavenly bodies, except the moon, appearing as fixed luminous points in the sky at night. 2. Astron. any of the large, self luminous, heavenly bodies, as the sun, Polaris,… … Universalium
Oscillation — For other uses, see oscillator (disambiguation) and oscillation (mathematics). An undamped spring–mass system is an oscillatory system. Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a… … Wikipedia
Compact star — In astronomy, the term compact star (sometimes compact object) is used to refer collectively to white dwarfs, neutron stars, other exotic dense stars, and black holes. These objects are all small for their mass. The term compact star is often… … Wikipedia
Dark star (Newtonian mechanics) — This article is about astronomical objects described by Newtonian mechanics. For the modern concept based on dark matter, see dark star (dark matter). For the modern concept based on dark energy, see dark energy star. A dark star is a theoretical … Wikipedia
Dark-energy star — A dark energy star is a hypothetical compact astrophysical object, which a minority of physicists feel might constitute an alternative explanation for observations of astronomical black hole candidates. Dark energy is invisible to the human eye;… … Wikipedia
Magnetar — For the hedge fund, see Magnetar Capital. Artist s conception of a magnetar, with magnetic field lines A magnetar is a type of neutron star with an extremely powerful magnetic field, the decay of which powers the emission of copious amounts of… … Wikipedia
Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity. Computer scientist Manindra Agrawal of the… … Universalium
List of astronomy acronyms — This is a compilation of acronyms commonly used in astronomy. Most of the acronyms are drawn from professional astronomy and are used quite frequently in scientific publications. However, a few of these acronyms are frequently used by the general … Wikipedia