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Bulletin of the MRSU / Section "Physics and mathematics" / 2014 № 1.

 

D.V. Fursaev

NOTES ON DERIVATION OF GENERALIZED GRAVITATIONAL ENTROPY. In: Bulletin of the Moscow Region State University (electronic journal), 2014, no. 1.


UDC Index: 539.1.01

Date of publication: 19.03.2014

The full text of the article

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Abstract


A novel derivation of generalized gravitational entropy associated to co-dimension 2 'entangling' hypersurfaces is given. The approach is similar to the Jacobson- Myers 'Hamiltonian' method in a sense that the entropy appears from a boundary term in the action when one isolates a small domain around the entangling surface. In our arguments we also use the idea by Lewkowycz and Maldacena and interpret the boundary term in the gravity action as a 'cosmic string' (brane) action. However, the important difference between our approach and the original formulation of the generalized gravitational entropy by Lewkowycz and Maldacena is that we never use manifolds with conical singularities as a tool to carry out the computations. Variations of gravity actions over the replica parameter imply changing position of the 'cosmic string'. By requiring that the entangling surface is an extremum of the entropy functional we come to the entropy formula which coincides with known results for black hole entropy formula when the entangling surface is a black hole horizon.When our approach is applied to Lovelock theories of gravity the generalized entropy formula coincides with results derived by other methods.

Key words


entropy of quantum entanglement, higher derivative gravity theories, quantum gravity

List of references


1. Bianchi E., Myers R.C. On the Architecture of Spacetime Geometry. URL: http://arxiv.org/abs/1212.5183.
2. Bhattacharyya A., Kaviraj A., Sinha A. Entanglement entropy in higher derivative holography. URL: http://arxiv.org/pdf/1303.1884.pdf.
3. Bhattacharyya A., Sharma M., Sinha A. On generalized gravitational entropy, squashed cones and holography. URL: http://arxiv.org/pdf/1308.5748.pdf.
4. Camps J. Generalized Entropy and Higher Derivative Gravity. URL: http://hep.physics.uoc.gr/Slides/Spring_2014/JoanCamps.pdf
5. Chen B., Zhang J.j. Note on generalized gravitational entropy in Lovelock gravity. ePrint: arXiv:1305.6767 [hepth].
6. Dong X. Holographic Entanglement Entropy for General Higher Derivative Gravity. JHEP 1401 (2014) 044. URL: http://arxiv.org/abs/1310.5713.
7. Fursaev D.V. Entanglement Entropy in Critical Phenomena and Analogue Models of Quantum Gravity. Phys. Rev. D73 (2006) 124025. URL: http://arxiv.org/abs/hepth/0602134.
8. Fursaev D.V. Entanglement Entropy in Quantum Gravity and the Plateau Problem. Phys. Rev. D77 (2008) 124002. URL: http://arxiv.org/abs/0711.1221.
9. Fursaev D.V., Patrushev A., Solodukhin S.N. Distributional Geometry of Squashed Cones. URL: http://arxiv.org/pdf/1306.4000.pdf.
10. Jacobson T., Myers R.C. Black hole entropy and higher curvature interactions. Phys. Rev. Lett. 1993. Vol. 70. URL: http://journals.aps.org/prl/pdf/10.1103/PhysRevLett.70.3684.
11. Lewkowycz A., Maldacena J. Generalized gravitational entropy. JHEP 1308, 090 (2013). URL: http://arxiv.org/abs/1304.4926.
12. Myers R.C., Pourhasan R., Smolkin M. On Spacetime Entanglement. JHEP 1306 (2013) 013. URL: http://arxiv.org/abs/1304.2030.
13. Neiman Y. The imaginary part of the gravity action and black hole entropy. JHEP 1304 (2013) 071. URL: http://arxiv.org/abs/1301.7041.
14. Ryu S., Takayanagi T. Holographic Derivation of Entanglement Entropy from AdS/CFT. Phys. Rev. Lett. 96 (2006) 181602. URL: http://arxiv.org/abs/hepth/0603001.

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