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"This textbook explores approximate solutions to general relativity and their consequences. It offers a unique presentation of Einstein's theory by developing powerful methods that can be applied to astrophysical systems. Beginning with a uniquely thorough treatment of Newtonian gravity, the book develops post-Newtonian and post-Minkowskian approximation methods to obtain weak-field solutions to the Einstein field equations. The book explores the motion of self-gravitating bodies, the physics of gravitational waves, and the impact of radiative losses on gravitating systems. It concludes with a brief overview of alternative theories of gravity. Ideal for graduate courses on general relativity and relativistic astrophysics, the book examines real-life applications, such as planetary motion around the Sun, the timing of binary pulsars, and gravitational waves emitted by binary black holes. Text boxes explore related topics and provide historical context, and over 100 exercises present challenging tests of the material covered in the main tex"

"Summary: "The masses of neutron stars are limited by an instability to gravitational collapse, and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to X-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume pulls together more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics, and astronomy with the first self-contained treatment of the structure, stability, and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamental equations, results, and applications is accessible to readers who do not need the detailed derivations"

"[ABSTRAKFenomena halo neutron dalam nuklir digambarkan adanya kemunculan 'ekor' danadanya 'ruang kosong' antara core dan ekor pada distribusi neutron akibat energiikat yang lemah. Metode analisa halo yang dikembangkan oleh V. Rotival dkk [Phys.Rev. C79, 054308 (2009)] untuk menghitung besaran-besaran halo berdasarkan mo-del Hartree-Fock-Bogoulibov (HFB) pada isotop Cr dan isotop Sn menjadi salah sa-tu alternatif untuk mempelajari fenomena halo. Berbeda dengan Rotival dkk, kamimenggunakan model Relativistic Mean Field (RMF) pada penelitian ini. Berbedadengan hasil perhitungan berdasarkan model HFB, kami fokus mengamati perilakuspektrum single particle energy level 1g9~2 terhadap kemunculan halo pada isotopCr. Selain itu, pada penelitian ini kami juga memperlajari dampak dari suku crosscoupling meson ! − , suku-suku tensor dan suku pertukaran elektromagnetik padamodel RMF terhadap kemunculan halo pada isotop Cr dan isotop Sn. Hasil perhi-tungan prediksi kemunculan halo berdasarkan model RMF lebih besar dibandingkandengan hasil perhitungan berdasarkan model HFB (`NhaloeRMF > `NhaloeHFB):

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ABSTRACTIn neutron halo phenomenon, the neutron density displays an unusually extended'tail' and 'empty space' between the core and the tail due to weak binding energy.New analysis method of the halo was developed by V. Rotival, et al.[Phys. Rev. C79,054308 (2009)] in Cr-isotopes and Sn-isotopes, its usually applied with Hartree-Fock-Bogoliubov (HFB) model. Unlike them, we use the model of the Relativistic MeanField (RMF) in this research. We observed dierent behavior at the level 1g9~2 in linewith appearance of halo in Cr-isotopes. Moreover, in this research we also studiedthe eects of cross coupling meson ! − , tensor, and electromagnetic exchange inRMF model appearance of halo in Cr-isotopes and Sn-isotopes. The prediction ofthe existence of halo based on RMF model is greater than the prediction based onHFB model (`NhaloeRMF > `NhaloeHFB):, In neutron halo phenomenon, the neutron density displays an unusually extended'tail' and 'empty space' between the core and the tail due to weak binding energy.New analysis method of the halo was developed by V. Rotival, et al.[Phys. Rev. C79,054308 (2009)] in Cr-isotopes and Sn-isotopes, its usually applied with Hartree-Fock-Bogoliubov (HFB) model. Unlike them, we use the model of the Relativistic MeanField (RMF) in this research. We observed dierent behavior at the level 1g9~2 in linewith appearance of halo in Cr-isotopes. Moreover, in this research we also studiedthe eects of cross coupling meson ! − , tensor, and electromagnetic exchange inRMF model appearance of halo in Cr-isotopes and Sn-isotopes. The prediction ofthe existence of halo based on RMF model is greater than the prediction based onHFB model (`NhaloeRMF > `NhaloeHFB):]"