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Neutron Stars

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Modified and Quantum Gravity

Part of the book series: Lecture Notes in Physics ((LNP,volume 1017))

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Abstract

Neutron stars are highly compact astrophysical objects and therefore of utmost relevance to learn about theories of gravity. Whereas the proper equation of state of the nuclear matter inside neutron stars is not yet known, and a wide range of equations of state is still compatible with observations, this uncertainty can be overcome to a large extent, when dimensionless neutron star properties are considered. In this case universal relations between neutron star properties and for the gravitational radiation in the form of quasi-normal modes arise. These universal relations can be rather distinct for alternative theories of gravity as compared to General Relativity. Moreover, the presence of new degrees of freedom in alternative theories of gravity leads to further types of gravitational radiation, that may be revealed by pulsar observations and gravitational wave detectors. Here an introduction to neutron stars, their properties and universal relations is presented, followed by two examples of alternative theories of gravity featuring interesting effects for neutrons stars.

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References

  1. W. Baade, F. Zwicky, Proc. Natl. Acad. Sci. 20(5), 254 (1934)

    Article  ADS  Google Scholar 

  2. A. Hewish, S.J. Bell, J.D.H. Pilkington, P.F. Scott, R.A. Collins, Nature 217, 709 (1968)

    Article  ADS  Google Scholar 

  3. J.H. Taylor, R.N. Manchester, A.G. Lyne, Astrophys. J. Suppl. 88, 529 (1993)

    Article  ADS  Google Scholar 

  4. M. Kramer, J.F. Bell, R.N. Manchester, A.G. Lyne, F. Camilo, I.H. Stairs, N. D’Amico, V.M. Kaspi, G. Hobbs, D.J. Morris et al., Mon. Not. Roy. Astron. Soc. 342, 1299 (2003)

    Article  ADS  Google Scholar 

  5. M. Burgay, N. D’Amico, A. Possenti, R.N. Manchester, A.G. Lyne, B.C. Joshi, M.A. McLaughlin, M. Kramer, J.M. Sarkissian, F. Camilo et al., Nature 426, 531 (2003)

    Article  ADS  Google Scholar 

  6. A.A. Abdo et al., [Fermi-LAT], Astrophys. J. Suppl. 208, 17 (2013)

    Google Scholar 

  7. The EPN Database of Pulsar Profiles: http://www.epta.eu.org/epndb/

  8. I.H. Stairs, Living Rev. Rel. 6, 5 (2003)

    Article  Google Scholar 

  9. M. Kramer, I.H. Stairs, R.N. Manchester, N. Wex, A.T. Deller, W.A. Coles, M. Ali, M. Burgay, F. Camilo, I. Cognard et al., Phys. Rev. X 11(4), 041050 (2021)

    Google Scholar 

  10. R.C. Tolman, Phys. Rev. 55, 364 (1939)

    Article  ADS  Google Scholar 

  11. J.R. Oppenheimer, G.M. Volkoff, Phys. Rev. 55, 374 (1939)

    Article  ADS  Google Scholar 

  12. J.M. Lattimer, Ann. Rev. Nucl. Part. Sci. 62, 485 (2012)

    Article  ADS  Google Scholar 

  13. F. Özel, P. Freire, Ann. Rev. Astron. Astrophys. 54, 401 (2016)

    Article  ADS  Google Scholar 

  14. G. Baym, T. Hatsuda, T. Kojo, P.D. Powell, Y. Song, T. Takatsuka, Rep. Prog. Phys. 81, 056902 (2018)

    Article  ADS  Google Scholar 

  15. B.P. Abbott et al., [LIGO Scientific and Virgo], Phys. Rev. Lett. 116, 061102 (2016)

    Google Scholar 

  16. B.P. Abbott et al., [LIGO Scientific and Virgo], Phys. Rev. Lett. 119, 161101 (2017)

    Google Scholar 

  17. B.P. Abbott et al., [LIGO Scientific, Virgo, Fermi GBM, INTEGRAL, IceCube, AstroSat Cadmium Zinc Telluride Imager Team, IPN, Insight-Hxmt, ANTARES, Swift, AGILE Team, 1M2H Team, Dark Energy Camera GW-EM, DES, DLT40, GRAWITA, Fermi-LAT, ATCA, ASKAP, Las Cumbres Observatory Group, OzGrav, DWF (Deeper Wider Faster Program), AST3, CAASTRO, VINROUGE, MASTER, J-GEM, GROWTH, JAGWAR, CaltechNRAO, TTU-NRAO, NuSTAR, Pan-STARRS, MAXI Team, TZAC Consortium, KU, Nordic Optical Telescope, ePESSTO, GROND, Texas Tech University, SALT Group, TOROS, BOOTES, MWA, CALET, IKI-GW Follow-up, H.E.S.S., LOFAR, LWA, HAWC, Pierre Auger, ALMA, Euro VLBI Team, Pi of Sky, Chandra Team at McGill University, DFN, ATLAS Telescopes, High Time Resolution Universe Survey, RIMAS, RATIR and SKA South Africa/MeerKAT], Astrophys. J. Lett. 848, L12 (2017)

    Google Scholar 

  18. B.P. Abbott et al., [LIGO Scientific and Virgo], Phys. Rev. Lett. 121, 161101 (2018)

    Google Scholar 

  19. J. Alsing, H.O. Silva, E. Berti, Mon. Not. Roy. Astron. Soc. 478, 1377 (2018)

    Article  ADS  Google Scholar 

  20. L. Rezzolla, E.R. Most, L.R. Weih, Astrophys. J. Lett. 852, L25 (2018)

    Article  ADS  Google Scholar 

  21. P. Demorest, T. Pennucci, S. Ransom, M. Roberts, J. Hessels, Nature 467, 1081 (2010)

    Article  ADS  Google Scholar 

  22. J. Antoniadis, P.C.C. Freire, N. Wex, T.M. Tauris, R.S. Lynch, M.H. van Kerkwijk, M. Kramer, C. Bassa, V.S. Dhillon, T. Driebe et al., Science 340, 6131 (2013)

    Article  ADS  Google Scholar 

  23. H.T. Cromartie et al., [NANOGrav], Nat. Astron. 4, 72 (2019)

    Google Scholar 

  24. K. Yagi, N. Yunes, Phys. Rep. 681, 1 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  25. D.D. Doneva, G. Pappas, Astrophys. Space Sci. Libr. 457, 737 (2018)

    Article  ADS  Google Scholar 

  26. J.S. Read, B.D. Lackey, B.J. Owen, J.L. Friedman, Phys. Rev. D 79, 124032 (2009)

    Article  ADS  Google Scholar 

  27. J.M. Lattimer, Ann. Rev. Nucl. Part. Sci. 71, 433 (2021)

    Article  ADS  Google Scholar 

  28. J.L. Blázquez-Salcedo, B. Kleihaus, J. Kunz, Universe 8, 153 (2022)

    Article  ADS  Google Scholar 

  29. J.B. Hartle, Astrophys. J. 150, 1005 (1967)

    Article  ADS  Google Scholar 

  30. H. Sotani, Phys. Rev. D 86, 124036 (2012)

    Article  ADS  Google Scholar 

  31. Z. Altaha Motahar, J.L. Blázquez-Salcedo, B. Kleihaus, J. Kunz, Phys. Rev. D 96, 064046 (2017)

    Article  ADS  Google Scholar 

  32. J.B. Hartle, K.S. Thorne, Astrophys. J. 153, 807 (1968)

    Article  ADS  Google Scholar 

  33. P. Pani, E. Berti, Phys. Rev. D 90, 024025 (2014)

    Article  ADS  Google Scholar 

  34. T. Hinderer, Astrophys. J. 677, 1216 (2008)

    Article  ADS  Google Scholar 

  35. K. Yagi, N. Yunes, Phys. Rev. D 88, 023009 (2013)

    Article  ADS  Google Scholar 

  36. N. Andersson, K.D. Kokkotas, Mon. Not. Roy. Astron. Soc. 299, 1059 (1998)

    Article  ADS  Google Scholar 

  37. K.D. Kokkotas, B.G. Schmidt, Living Rev. Rel. 2, 2 (1999)

    Article  Google Scholar 

  38. K.S. Thorne, A. Campolattaro, Astrophys. J. 149, 591 (1967). Erratum: Astrophys. J. 152, 673 (1968)

    Google Scholar 

  39. K.S. Thorne, Rev. Mod. Phys. 52, 299 (1980)

    Article  ADS  Google Scholar 

  40. L. Lindblom, S.L. Detweiler, Astrophys. J. Suppl. 53, 73 (1983)

    Article  ADS  Google Scholar 

  41. S.L. Detweiler, L. Lindblom, Astrophys. J. 292, 12 (1985)

    Article  ADS  Google Scholar 

  42. K. Yagi, N. Yunes, Science 341, 365 (2013)

    Article  ADS  Google Scholar 

  43. R.P. Geroch, J. Math. Phys. 11, 2580 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  44. R.O. Hansen, J. Math. Phys. 15, 46 (1974)

    Article  ADS  Google Scholar 

  45. C. Hoenselaers, Z. Perjes, Class. Quant. Grav. 10, 375 (1993)

    Article  ADS  Google Scholar 

  46. T.P. Sotiriou, T.A. Apostolatos, Class. Quant. Grav. 21, 5727 (2004)

    Article  ADS  Google Scholar 

  47. T. Damour, A. Nagar, Phys. Rev. D 80, 084035 (2009)

    Article  ADS  Google Scholar 

  48. L.C. Stein, K. Yagi, N. Yunes, Astrophys. J. 788, 15 (2014)

    Article  ADS  Google Scholar 

  49. K. Yagi, L.C. Stein, G. Pappas, N. Yunes, T.A. Apostolatos, Phys. Rev. D 90, 063010 (2014)

    Article  ADS  Google Scholar 

  50. N. Andersson, K.D. Kokkotas, Phys. Rev. Lett. 77, 4134 (1996)

    Article  ADS  Google Scholar 

  51. K.D. Kokkotas, T.A. Apostolatos, N. Andersson, Mon. Not. Roy. Astron. Soc. 320, 307 (2001)

    Article  ADS  Google Scholar 

  52. O. Benhar, E. Berti, V. Ferrari, Mon. Not. Roy. Astron. Soc. 310, 797 (1999)

    Article  ADS  Google Scholar 

  53. O. Benhar, V. Ferrari, L. Gualtieri, Phys. Rev. D 70, 124015 (2004)

    Article  ADS  Google Scholar 

  54. L.K. Tsui, P.T. Leung, Mon. Not. Roy. Astron. Soc. 357, 1029 (2005)

    Article  ADS  Google Scholar 

  55. H.K. Lau, P.T. Leung, L.M. Lin, Astrophys. J. 714, 1234 (2010)

    Article  ADS  Google Scholar 

  56. J.L. Blazquez-Salcedo, L.M. Gonzalez-Romero, F. Navarro-Lerida, Phys. Rev. D 87, 104042 (2013)

    Article  ADS  Google Scholar 

  57. J.L. Blázquez-Salcedo, L.M. González-Romero, F. Navarro-Lérida, Phys. Rev. D 89, 044006 (2014)

    Article  ADS  Google Scholar 

  58. C. Chirenti, G.H. de Souza, W. Kastaun, Phys. Rev. D 91, 044034 (2015)

    Article  ADS  Google Scholar 

  59. C.M. Will, Living Rev. Rel. 9, 3 (2006)

    Article  Google Scholar 

  60. V. Faraoni, S. Capozziello, Fundam. Theor. Phys. 170 (2010)

    Google Scholar 

  61. E. Berti et al., Class. Quant. Grav. 32, 243001 (2015)

    Article  ADS  Google Scholar 

  62. E.N. Saridakis et al., Modified Gravity and Cosmology - An Update by the CANTATA Network, ed. by E.N. Saridakis, R. Lazkoz, V. Salzano, P.V. Moniz, S. Capozziello, J.B. Jiménez, M. De Laurentis, G.J. Olmo. Springer (2021). ISBN: 978-3-030-83714-3. https://link.springer.com/book/10.1007/978-3-030-83715-0

  63. C. Brans, R.H. Dicke, Phys. Rev. 124, 925 (1961)

    Article  ADS  MathSciNet  Google Scholar 

  64. T. Damour, G. Esposito-Farese, Class. Quant. Grav. 9, 2093 (1992)

    Article  ADS  Google Scholar 

  65. T. Damour, G. Esposito-Farese, Phys. Rev. D 54, 1474 (1996)

    Article  ADS  Google Scholar 

  66. Y. Fujii, K. Maeda, The Scalar-Tensor Theory of Gravitation (Cambridge University Press, Cambridge, 2007)

    MATH  Google Scholar 

  67. G. Esposito-Farese, D. Polarski, Phys. Rev. D 63, 063504 (2001)

    Article  ADS  Google Scholar 

  68. T. Damour, G. Esposito-Farese, Phys. Rev. Lett. 70, 2220 (1993)

    Article  ADS  Google Scholar 

  69. R.F.P. Mendes, Phys. Rev. D 91, 064024 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  70. R.F.P. Mendes, N. Ortiz, Phys. Rev. D 93, 124035 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  71. R.F.P. Mendes, N. Ortiz, Phys. Rev. Lett. 120, 201104 (2018)

    Article  ADS  Google Scholar 

  72. J. Zhao, P.C.C. Freire, M. Kramer, L. Shao, N. Wex, Class. Quant. Grav. 39, 11LT01 (2022)

    Google Scholar 

  73. F.M. RamazanoÄŸlu, F. Pretorius, Phys. Rev. D 93, 064005 (2016)

    Article  ADS  Google Scholar 

  74. S.S. Yazadjiev, D.D. Doneva, D. Popchev, Phys. Rev. D 93, 084038 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  75. D.D. Doneva, S.S. Yazadjiev, J. Cosmol. Astropart. Phys. 11, 019 (2016)

    Article  ADS  Google Scholar 

  76. Z. Altaha Motahar, J.L. Blázquez-Salcedo, D.D. Doneva, J. Kunz, S.S. Yazadjiev, Phys. Rev. D 99, 104006 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  77. T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)

    Article  ADS  Google Scholar 

  78. A. De Felice, S. Tsujikawa, Living Rev. Rel. 13, 3 (2010)

    Article  Google Scholar 

  79. S. Capozziello, M. De Laurentis, Phys. Rep. 509, 167 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  80. S.S. Yazadjiev, D.D. Doneva, K.D. Kokkotas, K.V. Staykov, J. Cosmol. Astropart. Phys. 06, 003 (2014)

    Article  ADS  Google Scholar 

  81. K.V. Staykov, D.D. Doneva, S.S. Yazadjiev, K.D. Kokkotas, J. Cosmol. Astropart. Phys. 10, 006 (2014)

    Article  ADS  Google Scholar 

  82. S.S. Yazadjiev, D.D. Doneva, K.D. Kokkotas, Phys. Rev. D 91, 084018 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  83. D.D. Doneva, S.S. Yazadjiev, K.D. Kokkotas, Phys. Rev. D 92, 064015 (2015)

    Article  ADS  Google Scholar 

  84. J.L. Blázquez-Salcedo, D.D. Doneva, J. Kunz, K.V. Staykov, S.S. Yazadjiev, Phys. Rev. D 98, 104047 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  85. J.L. Blázquez-Salcedo, F.S. Khoo, J. Kunz, Europhys. Lett. 130, 50002 (2020)

    Article  Google Scholar 

  86. J.L. Blázquez-Salcedo, F.S. Khoo, J. Kunz, V. Preut, Front. Phys. 9, 741427 (2021)

    Article  Google Scholar 

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Acknowledgements

I would like to thank the organizers for the invitation to the interesting meeting Signatures and experimental searches for modified and quantum gravity. I would also like to thank my collaborators and here, in particular, Jose Luis Blázquez-Salcedo and Vincent Preut, for providing the above figures. Furthermore, I would like to gratefully acknowledge support by the DFG Research Training Group 1620 Models of Gravity and the COST Actions CA15117 and CA16104.

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  1. Institute of Physics, University of Oldenburg, Oldenburg, Germany

    Jutta Kunz

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  1. Jutta Kunz
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Correspondence to Jutta Kunz .

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  1. ZARM, University of Bremen, Bremen, Germany

    Christian Pfeifer

  2. ZARM, University of Bremen, Bremen, Germany

    Claus Lämmerzahl

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Kunz, J. (2023). Neutron Stars. In: Pfeifer, C., Lämmerzahl, C. (eds) Modified and Quantum Gravity. Lecture Notes in Physics, vol 1017. Springer, Cham. https://doi.org/10.1007/978-3-031-31520-6_7

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