Teaching response was rated as number 2 in the college of science.

Introduction to AstroPhysics (Fall,1999) -

Recent Preprints and Research Interest

Physical Review Papers



  • Bianchi Spaces and CMB physics 
  • Physics of Compact Stars: neutron star, magnetar, black hole
  • Inflation / Quintessence
  • Formation of Spiral Galaxy
  • Measuring Galactic Distance
  • Building Time Machine  ^_^  ^_^

Selected Publications and preprints:

W.F. Kao,  Error estimation and the dynamics of spiral galaxies;

W.F. Kao,  Analytic approach to the dynamics of spiral galaxies;

W.F. Kao,  Dynamical Structure of spiral galaxies;

  • Tuan Q. Do and W. F . Kao, Bianchi type I anisotropic power-law solutions for the Galileon models, Phys. Rev. D96 , 023529  (2017) , DOI:https://doi.org/10.1103/PhysRevD.96.023529.
  • Tuan Q. Do and W. F . Kao, Anisotropic power-law solutions for a supersymmetry Dirac–Born–Infeld theory, Class. Quantum Grav. (2016) 33 085009, DOI http://dx.doi.org/10.1088/0264-9381/33/8/085009
  • S. H. Ho, W. F. Kao, Kazuharu Bamba, C. Q. Geng, Cosmological birefringence due to CPT-even Chern-Simons-like term with Kalb-Ramond  and scalar fields, Eur. Phys. J. C (2015) 75:192 DOI 10.1140/epjc/s10052-015-3426-5
  • W. F. Kao and Ing-Chen Lin, Bianchi type I expanding universe in Weyl-invariant massive gravity, Phys. Rev. D 90, 063003 (2014) DOI: 10.1103/PhysRevD.90.063003
  • Tuan Q. Do and W. F . Kao, Anisotropically expanding universe in massive gravity, Phys. Rev. D 88, 063006 (2013) DOI:    10.1103/PhysRevD.88.063006
  • ChiaMing Chang and W.F. Kao, Weyl-invariant Kaluza-Klein theory and the teleparallel equivalent of Weyl-invariant general relativity, Phys. Rev. D 88 (2013)063504-1~11  DOI:  10.1103/PhysRevD.88.063504
  • Kazuharu Bamba, C. Q. Geng, S. H. Ho, W. F. Kao, Large-scale magnetic fields from inflation due to a $CPT$-even Chern-Simons-like term with Kalb-Ramond and scalar fields, Eur. Phys. J. C (2012) 72:1978, DOI 10.1140/epjc/s10052-012-1978-1
  • Tuan Q. Do, W. F . Kao, Anisotropic power-law inflation for the Dirac-Born-Infeld theory, Phys. Rev. D84 (2011) 123009; DOI: 10.1103/PhysRevD.84.123009
  • ChiaMing Chang, W.F. Kao and Ing-Chen Lin, The stability analysis of the Lorentz Chern-Simons expanding solutions, Phys. Rev. D 84 (2011) 063014, DOI: 10.1103/PhysRevD.84.063014 [View PDF (230 kB)]
  • Tuan Q. Do, W. F . Kao, and Ing-Chen Lin, Anisotropic power-law inflation for a two scalar fields model,  Phys. Rev. D83, (2011), 123002,
  • W.F. Kao and Ing-Chen Lin, The stability of the anisotropically inflating Bianchi type VI expanding solutions, Phys. Rev. D 83 (2011), 063004,
  • W.F. Kao,  Scalar tensor theory and the anisotropic perturbations of the inflationary universe; The European Physical Journal C, 10.1140/epjc/s10052-009-1176-y,  http://www.springerlink.com/content/e8x17g55r101166w/
  • W.F. Kao and Ing-Chen Lin, Anisotropically Inflating Universes in a scalar tensor theory, Phys. Rev. D79  (2009) 043001;
  • W.F. Kao and Ing-Chen Lin, Stability conditions for the Bianchi type II anisotropically inflating Universes, Journal of Cosmology and Astroparticle Physics, JCAP01(2009)022,
  • W.F. Kao, Anisotropic perturbation of de Sitter space, The European Physical Journal C53 (2008) 87; DOI:10.1140/epjc/s10052-007-0430-4;
  • W.F. Kao, Kaluza-Klein Higher Derivative Induced Gravity, Class. Quantum Grav., 24 (2007) 4295;
  • W.F. Kao, Anisotropic higher derivative gravity and inflationary universe, Phys. Rev. D 74, 043522 (2006),hep-th/0605208:
  • Chiang-Mei Chen, W.F. Kao; Stability of the Anisotropic Brane Cosmology, CJP, 42 (2004) 45; hep-th/0201188,
  • Chiang-Mei Chen, T. Harko, W. F. Kao and M. K. Mak, Rotational perturbations of high density matter in the brane cosmology, Journal of Cosmology and Astroparticle Physics, 11 (2003) 005, hep-th/0208033,
  • Chiang-Mei Chen, T. Harko, W. F. Kao, M. K. Mak, Rotational Perturbations of Friedmann-Robertson-Walker Type Brane-World Cosmological Models, Nucl. Phys. B636 (1-2) (2002) pp. 159-178,  hep-th/0201012 [abs, ps, pdf, other] ; 
  • W.F. Kao, P.G. Luan, D.H. Lin, Semiclassical Quantization for the Spherically Symmetric Systems under an Aharonov-Bohm magnetic flux, Phys. Rev. A65 (2002) 052108;  quant-ph/0112174[abs],
  • W. F. Kao, G.-L. Lin, J.-J. Tseng, On Analytic Properties of the Photon Polarization Function in a Background Magnetic Field, Phys. Lett. B522 (2001) 257; hep-ph/0109002,  Erratum-ibid.B541:411,2002.
  • Chiang-Mei Chen, W.F. Kao, Stability Analysis of Anisotropic Inflationary Cosmology, Phys. Rev. D64 (2001) 124019; hep-th/0104101,
  • W.F. Kao, Bianchi type I space and the stability of inflationary Friedmann-Robertson-Walker space, Phys. Rev. D64 (2001) 107301; hep-th/0104166, 
  • W.F. Kao, Ue-Li Pen, Pengjie Zhang, Friedmann Equation and Stability of Inflationary Higher Derivative Gravity; Phys. Rev. D63, (2001) 127301; gr-qc/9911116;
  • W. F. Kao, Guey-Lin Lin, Jie-Jun Tseng, A new look at the pair-production width in a strong magnetic field; Phys. Lett. B495 (2000) 105; hep-ph/0008240;
  • Tzuu-Kang Chyi, Chien-Wen Hwang, W. F. Kao, Guey-Lin Lin, Kin-Wang Ng, Jie-Jun Tseng, The weak-field expansion for processes in a homogeneous background magnetic field, Phys. Rev. D62 (2000) 105014, hep-th/9912134; 
  • W.F. Kao, Kaluza-Klein Induced Gravity Inflation, Phys. Rev. D62 (2000) 084009, hep-th/0003153;
  • W.F. Kao, Inflationary Universe in Higher Derivative Induced Gravity, Phys. Rev. D62 (2000) 087301, hep-th/0003206;
  • W.F. Kao, Higher Derivative Weyl Gravity, Phys. Rev. D61(2000) 047501;
  • W.F. Kao, Magnetic Monopole In Induced Einstein-Yang-Mills Models, Phys. Rev. D61(2000)044004;
  • Tzuu-Kang Chyi, Chien-Wen Hwang, W. F.Kao, Guey-Lin Lin, Kin-Wang Ng, Jie-Jun Tseng, Neutrino-photon scattering and its crossed processes in a background magnetic fieldPhys. Letts. B466 (1999) 274-80;
  • W.F. Kao, Shih-Yuin Lin, On Metric Dependence of Vilkovisky-DeWitt Effective Potential, MPL A13 (1998) 2111-16  
  • W.B.Dai,W.F.Kao,Shang-Yung Wang, Magnetically Charged Black Holes In Induced ravity,CJP, 36(1998)693-704  
  • W.F. Kao, W.B. Dai, Shang Yuun Wang, Tzuu-Kang Chi and Shi-Yuun Lin,1996, Induced Einstein-Kalb-Ramond Theory and The Black Hole, Phys. Rev. D53, 2244-47,  
  • W.F. Kao, Shi-Yuun Lin and Tzuu-Kang Chi, 1996, Weyl Invariant Black Hole, Phys. Rev. D53, 1955-1962  
  • W.F.Kao, 1993, Torsion, Compactification and Inflation, Phys. Rev. D47, 3639-3642,  
  • W.F.Kao, 1992, Induced Einstein-Kalb-Ramond Theory in Four Dimension, Phys. Rev. D46, 5421-5428  
  • W.F.Kao and Ue-Li Pen, 1991, Generalized Friedmann-Robertson-Walker Metric and Reduddancy in Generalized Einstein Equation, Phys. Rev. D44, 3974-3977  
  • W.F.Kao, 1991, Ansatz and Consistency, Can. J. Phys. 69, 1383-1387  
  • W.F. Kao, 1991, Scale Invariance and Inflation, Phys. Lett. 154A, 1-4  
  • W.F.Kao, 1991, Gauge Symmetry in Spinor Space, Mod. Phys. Lett. 31A, 2855-2859  
  • W.F.Kao, 1990, Wilson Loop and Contour Shapes, Phys. Rev. D42, 4159-4164  
  • W.F.Kao, 1990, Inflationary Solution in Weyl Invariant Theory, Phys. Lett. 149A, 76-78  
  • W.F.Kao, Q.Park and H.J.Schnitzer, 1988, Low Energy Effective Action, to Two Loop Order, from Compactification of Closed Bose Strings, Phys. Lett. 200B, 53-58;
  • W.F.Kao and H.J.Schnitzer, 1988, Weak Radiative Decays in the Skyrme Model, Phys. Rev. D37, 1912-1922  
  • W.F.Kao and H.J.Schnitzer, 1987, Skyrme Model Predictions for Weak Radiative Decays of Baryons, Phys. Lett. 183B, 361-365  

Textbooks :

  • W.F. Kao, Lecture Note On General Relativity (Draft in CTeX), 
  • 宇宙學簡介部分講義 2012
  • 高中基礎物理二A, 高涌泉、 高文芳、林秀豪、張明哲、閔振發、楊樹基、蔡榮泰,龍騰出版社, 2011;
  • 高中基礎物理二B(上), 高涌泉、高文芳、林秀豪、張明哲、閔振發、楊樹基、蔡榮泰,龍騰出版社, 2011;
  • 高中基礎物理二B(下), 高涌泉、高文芳、林秀豪、張明哲、閔振發、楊樹基、蔡榮泰,龍騰出版社, 2011
  • 高中選修物理(上), 高涌泉、高文芳、林秀豪、張明哲、楊樹基、蔡榮泰,龍騰出版社, 2012;
  • 高中選修物理(下), 高涌泉、高文芳、林秀豪、張明哲、楊樹基、蔡榮泰,龍騰出版社, 2012;
  • 其他譯著