Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis

Ernst, Frederick J.

doi:10.1103/physrevd.50.4993

Cited by 13 publications

(16 citation statements)

References 17 publications

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“…A large number of astrophysically relevant electrovac solutions were considered in the papers [3,4] and [5,6]; these correspond to rational axis data, which for some sufficiently large value of N can be expressed in the form…”

Section: Introductionmentioning

confidence: 99%

Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes: II

Ernst¹,

Manko²,

Ruiz³

2007

Class. Quantum Grav.

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Section: Introductionmentioning

confidence: 99%

Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes: II

Ernst¹,

Manko²,

Ruiz³

2007

Class. Quantum Grav.

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“…The possible connection of the HM conjecture with inner symmetries of the EM equations proposed above would connect the conjecture with a set of generating methods elaborated by Ernst and other authors (see e.g. [23,18] and references cited therein) for axisymmetric fields. These methods are based on the solution of the homogeneous Hilbert problem for the axes-accessible Einstein equations (solutions with singularities along the whole axis such as Levi-Civita's one are excluded) and it was proved [18], that these vacuum fields are deducible through the action of a huge group with infinitesimal generators.…”

Section: Discussionmentioning

confidence: 83%

“…[23,18] and references cited therein) for axisymmetric fields. These methods are based on the solution of the homogeneous Hilbert problem for the axes-accessible Einstein equations (solutions with singularities along the whole axis such as Levi-Civita's one are excluded) and it was proved [18] that these vacuum fields are deducible through the action of a huge group with infinitesimal generators.…”

Section: Discussionmentioning

confidence: 98%

Weyl metrics and the generating conjecture

Richterek

Horský

2004

Czech J Phys

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By means of Ernst complex potential formalism it is shown, that previously studied static axisymmetric Einstein-Maxwell fields obtained though the application of the Horsky-Mitskievitch generating conjecture represent a combination of Kinnersley's transformations [W. Kinnersley: J. Math. Phys. 14 (1973) 651]. New theoretical background for the conjecture is suggested and commented.Comment: 10 pages, to appear in Czech.J. Phy

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“…For this definition of multipole moments, the Kerr solution is a purely dipole one, and its higher multipoles are zero. General expressions for the metric coefficients are given in SS 98 [formulas (23) and (24)]. Denote the roots of the denominator in the expression for E on the symmetry axis by b 1 , b 2 , . .…”

Section: The External Gravitational Fields Of Sources With a Finite Smentioning

confidence: 99%

Energy release during disk accretion onto a rapidly rotating neutron star

2000

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.Abstract The energy release L s on the surface of a neutron star (NS) with a weak magnetic field and the energy release L d in the surrounding accretion disk depend on two independent parameters that determine its state (for example, mass M and cyclic rotation frequency f ) and is proportional to the accretion rate. We derive simple approximation formulas illustrating the dependence of the efficiency of energy release in an extended disk and in a boundary layer near the NS surface on the frequency and sense of rotation for various NS equations of state. Such formulas are obtained for the quadrupole moment of a NS, for a gap between its surface and a marginally stable orbit, for the rotation frequency in an equatorial Keplerian orbit and in the marginally stable circular orbit, and for the rate of NS spinup via disk accretion. In the case of NS and disk counterrotation, the energy release during accretion can reach 0.67Ṁc2 . The sense of NS rotation is a factor that strongly affects the observed ratio of nuclear energy release during bursts to gravitational energy release between bursts in X-ray bursters. The possible existence of binary systems with NS and disk counterrotation in the Galaxy is discussed. Based on the static criterion for stability, we present a method of constructing the dependence of gravitational mass M on Kerr rotation parameter j and on total baryon mass (rest mass) m for a rigidly rotating neutron star. We show that all global NS characteristics can be expressed in terms of the function M(j, m) and its derivatives. We determine parameters of the equatorial circular orbit and the marginally stable orbit by using M(j, m) and an exact solution of the Einstein equations in a vacuum, which includes the following three parameters: gravitational mass M, angular momentum J, and quadrupole moment Φ 2 . Depending on Φ 2 , this solution can also be interpreted as a solution that describes the field of either two Kerr black holes or two Kerr disks.

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Determining parameters of the Neugebauer family of vacuum spacetimes in terms of data specified on the symmetry axis

Cited by 13 publications

References 17 publications

Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes: II

Equatorial symmetry/antisymmetry of stationary axisymmetric electrovac spacetimes: II

Weyl metrics and the generating conjecture

Energy release during disk accretion onto a rapidly rotating neutron star

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