Generalizations of the Kerr-Newman solution

We search for approximate and exact solutions of the Einstein-Maxwell field equations that can be used to describe the interior and exterior gravitational and electromagnetic fields of relativistic compact objects such as white dwarfs, neutron stars and black holes. In particular, we are interested in generalizations of the Kerr-Newman solution that include higher-order multipole moments.

• Quadrupolar solutions

• Matching conditions

• Physical properties 		fig1


Group leader: Prof. Hernando Quevedo

In collaboration with:
M. Abishev (KazNU), E. Bayona (UNAM), N. Beisen (KazNU), F. Belissarova (KazNU), K. Boshkayev (KazNU), F. Frutos-Alfaro (UCR), A.C. Gutíerrez-Piñeres (UIS), R. Kerr (ICRANet), C. Lämmerzahl (UB), O. Luongo (INFN), A. Mansurova (KazNU), A. Muratkhan (KazNU), V. Perlick (UB), D. Phillip (UB), D. Pugliese (SU), W. Pulido (UNC), R. Ruffini (ICRANet), A. Sánchez (UNAM), P. Sánchez (UNAM), S. Toktarbay (KazNU), S. Vargas-Serdio (UNAM).

INFN: Istituto Nazionale di Fisica Nucleare
KazNU: Kazakh National University
SU: Slezská univerzita v Opavě
UB: Universität Bremen
UCR: Universidad de Costa Rica
UIS: Universidad Industrial de Santander
UNAM: Universidad Nacional Autónoma de México
UNC: Universidad Nacional de Colombia

Brief description



• Quadrupolar solutions

fig2
The case of the mass quadrupole is of particular importance because in compact objects it represents the highest multipole contribution. We propose the quadrupolar metric (q-metric), which is obtained by applying a Zipoy-Voorhees transformation, as the simplest generalization of the Schwarzschild metric which includes a quadrupole moment. As for the interior solutions, we follow the conceptual principle that the inner structure of compact objects other than black holes can be described by using the classical approaches of gravity with higher multipole moments and thermodynamics, whereas inner black hole configurations are of pure quantum nature.








• Matching conditions

fig3
We propose a new alternative method to match interior and exterior solutions. The C3 matching method is coordinate invariant because it is based upon the use of the eigenvalues of the Riemann curvature tensor and its derivatives (C3 conditions). It has been applied to spherically symmetric configurations, obtaining physically meaningful results.














• Physical properties

fig4
We investigate the physical properties of interior and exterior quadrupolar solutions by analyzing the motion of test particles in the corresponding gravitational field. Moreover, the effects of repulsive gravity, as defined by using the C3 matching procedure, are investigated in the vicinity of astrophysical objects as well as in the context of cosmological models.

Recent publications



The Erez–Rosen Solution Versus the Hartle–Thorne Solution
K. Boshkayev, H. Quevedo, G. Nurbakyt, A. Malybayev, and A. Urazalina
Published in: Symmetry 11 (2019) 10, 1324
e-Print: 1909.10949 [gr-qc]
DOI: 10.3390/sym11101324

Approximate perfect fluid solutions with quadrupole moment
M. Abishev, F. Belissarova, K. Boshkayev, H. Quevedo, S. Toktarbay, A. Mansurova, A. Muratkhan
e-Print: 1902.03485 [gr-qc]

C3 matching for asymptotically flat spacetimes
A. C. Gutiérrez-Piñeres and H. Quevedo
Published in: Class.Quant.Grav. 36 (2019) 13, 135003
e-Print: 1901.01363 [gr-qc]
DOI: 10.1088/1361-6382/ab2422

Disclosing connections between black holes and naked singularities: Horizon remnants, Killing throats and bottlenecks
D. Pugliese, H. Quevedo
Published in: Eur.Phys.J.C 79 (2019) 3, 209
e-Print: 1902.07917 [gr-qc]
DOI: 10.1140/epjc/s10052-019-6725-4

Can Spacetime Curvature be Used in Future Navigation Systems?
H. Quevedo
In: Puetzfeld D., Lämmerzahl C. (eds) Relativistic Geodesy. Fundamental Theories of Physics, vol 196. Springer, 2019.