scholarly journals Stationary axisymmetric exteriors for perturbations of isolated bodies in general relativity, to second order

2007 ◽  
Vol 75 (2) ◽  
Author(s):  
Malcolm A. H. MacCallum ◽  
Marc Mars ◽  
Raül Vera
Keyword(s):  
General Relativity ◽  
Second Order

The first and second order formulations of general relativity

Supergravity ◽  
2012 ◽  
pp. 171-184
Author(s):  
Daniel Z. Freedman ◽  
Antoine Van Proeyen
Keyword(s):  
General Relativity ◽  
Second Order

scholarly journals Zel’dovich-type approximation for an inhomogeneous universe in general relativity: Second-order solutions

1996 ◽  
Vol 53 (12) ◽  
pp. 6881-6888 ◽  
Author(s):  
Heinz Russ ◽  
Masaaki Morita ◽  
Masumi Kasai ◽  
Gerhard Börner
Keyword(s):  
General Relativity ◽  
Second Order ◽  
Inhomogeneous Universe ◽  
Type Approximation

scholarly journals Galaxy bias and gauges at second order in general relativity

2015 ◽  
Vol 32 (17) ◽  
pp. 175019 ◽  
Author(s):  
Daniele Bertacca ◽  
Nicola Bartolo ◽  
Marco Bruni ◽  
Kazuya Koyama ◽  
Roy Maartens ◽  
...  
Keyword(s):  
General Relativity ◽  
Second Order ◽  
Galaxy Bias

Recent developments in the tidal deformability of spinning compact objects

2016 ◽  
Vol 25 (09) ◽  
pp. 1641001
Author(s):  
Paolo Pani ◽  
Leonardo Gualtieri ◽  
Andrea Maselli ◽  
Valeria Ferrari
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
Kerr Black Hole ◽  
Compact Object ◽  
Second Order ◽  
Compact Objects ◽  
Tidal Effects ◽  
First Order ◽  
Love Numbers ◽  
Recent Developments

We review recent work on the theory of tidal deformability and the tidal Love numbers of a slowly spinning compact object within general relativity. Angular momentum introduces couplings between distortions of different parity and new classes of spin-induced, tidal Love numbers emerge. Due to spin-tidal effects, a rotating object immersed in a quadrupolar, electric tidal field can acquire some induced mass, spin, quadrupole, octupole and hexadecapole moments to second-order in the spin. The tidal Love numbers depend strongly on the object’s internal structure. All tidal Love numbers of a Kerr black hole (BH) were proved to be exactly zero to first-order in the spin and also to second-order in the spin, at least in the axisymmetric case. For a binary system close to the merger, various components of the tidal field become relevant. Preliminary results suggest that spin-tidal couplings can introduce important corrections to the gravitational waveforms of spinning neutron star (NS) binaries approaching the merger.

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